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anonymous
 one year ago
Please help!
The graph below shows a company's profit f(x), in dollars, depending on the price of notebooks x, in dollars, being sold by the company:
Part A: What do the xintercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?
Part B: At one time the profit of the company was at least $220, what domain could possibly produce this profit?
Part C: What is an approximate average rate of change of the graph from x = 2 to x = 4, and what does this rate represent?
anonymous
 one year ago
Please help! The graph below shows a company's profit f(x), in dollars, depending on the price of notebooks x, in dollars, being sold by the company: Part A: What do the xintercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? Part B: At one time the profit of the company was at least $220, what domain could possibly produce this profit? Part C: What is an approximate average rate of change of the graph from x = 2 to x = 4, and what does this rate represent?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Thesn1 can you please help I tried googling it and I cant find it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 hey can you help?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how far did you get with this? did you get started at all?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you want solution of all this or just the last question ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 no I didn't start im confused with this topic

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what does x represent (this is given at the top) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x is price of notebooks

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1how about f(x) ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the xintercepts are when f(x) = 0 so what does f(x) = 0 mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that the company started at $0?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1not really "started" but just whenever the profit is $0 since f(x) = profit

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok. so for part a the x intercepts are 0 and 4 right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1correct, so what does that mean?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1when x = 0, the value of f(x) = 0 so when the price is $0, the profit is $0, agreed?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ya agree. so What do the xintercepts and maximum value of the graph represent?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what does the x intercept of 4 represent?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then idk. im not good at quadratics

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1when the price is $4, the profit is $0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok. so the xintercepts are 0 and 4, and maximum value of the graph represent what?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1when they say "max value" they mean the max value of f(x) how big can f(x) get?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yep so that is the max profit because again, f(x) is the profit

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what value of x corresponds to the max profit?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yep so when x = 2, f(x) = 300 therefore, when the price is $2, the max profit is $300. This is where the company wants to aim

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok that makes more sense. ok and then for part a still What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the function is increasing if you are going uphill as you go from left to right decreasing is the opposite way (downhill) as you go from left to right

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433120212372:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433120219258:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433120232720:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so what would I put for part a answer?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1for the increasing/decreasing part, they just want the intervals along the x axis

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1for example (this is not the answer, just an example) say we had this scale dw:1433120434137:dw the increasing interval would be from x = 0 to x = 10 you can write that as 0 < x < 10 or in interval notation as (0,10) the decreasing interval would be from x = 10 to x = 20 you can write that as 10 < x < 20 or in interval notation as (10,20)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i don't get it. @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1where are you stuck at

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i just don't understand what you just said for the intervals.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1do you see how on my example graph, the curve goes uphill as you go from left to right until you hit x = 10?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so that's how I got the interval from 0 to 10 0 < x < 10 basically when x is between 0 and 10, the graph is going uphill...ie increasing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok so for my graph, it would be 0<x<300 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for increasing. and then i don't know about decreasing

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1actually 0 < x < 2 look along the x axis (not y)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhhhhh. so what would the decreasing be?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1give it a shot

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1hopefully you see how I'm getting 0 < x < 2 ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that's a possibility, but to be really practical, the company only cares about when the profit is 0 or positive (ideally when it's positive) so it would be from x = 2 to x = 4. Anything beyond x = 4 is territory the company doesn't want to go into so that's why it's practical to say 2 < x < 4 is the interval in which the function is decreasing. In a practical context anyway

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1notice how with the increasing part, I ignored everything to the left of x = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ya. ok so i just have to look at the x axis right? when i do this

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah whenever looking at intervals of decreasing or increasing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok got it! thanks i do flvs and its hard to do algebra online. anyways, to answer the whole part of part a, how would i put it as

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Simply state in your own words the things we went over the roots, the max, the increasing/decreasing intervals

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but itt also says what does it represent and idk what to put for that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Part B: At one time the profit of the company was at least $220, what domain could possibly produce this profit? @jim_thompson5910

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 can you help me with part b and c!!??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1draw a horizontal line through y = 220 where does this horizontal line cross the parabola? at what two points?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so (1,220) and (3,220)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so the profit is at least $220 when x is between 1 and 3 (inclusive) \[\Large 1 \le x \le 3\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if the company wants a profit of $220 or greater, then it needs to have the price between $1 and $3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so that would be my answer?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah the domain is another way of asking for an interval

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1do you see how to do part C?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0um no i need help with this sorry

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what are the two points on the parabola when x = 2 and x = 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x= 2 is 300? and x=4 0?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yep so we have the two points (2,300) and (4,0)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what is the slope of the line through those two points?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would it be a decreasing line

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes the slope is some negative number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so what would my answer be, A negative line that goes through 2,300 and 4,0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1use the slope formula \[\Large m = \frac{y_{2}y_{1}}{x_{2}x_{1}}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what slope do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0um one second let me solve it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so the average rate of change from x = 2 to x = 4 is 150 what does this mean? it means that the profit decreased by an average of $150 per increase of the price by $1 (ie each time the price went up $1, the profit dropped by $150)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so 150 is the approximate average rate of change. and this rate represents what? so i put that down?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah in your own words of course

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ya ik that. thanks so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome
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