hiralpatel121
What would the domain and range be?
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andriod09
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doamin is the x in a graph, while the range would be the y
hiralpatel121
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hiralpatel121
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What would it be in the following attached docs?
andriod09
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|dw:1347377860332:dw|
andriod09
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use that. you have to answer the equations first.
hiralpatel121
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This is what the problems looked like. And the ones I attached earlier are the answers.
andriod09
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the first numbers are x and the y are the last numbers
hiralpatel121
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So what would it be?
hiralpatel121
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I have graphed it and everything.
andriod09
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so you good?
hiralpatel121
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No
hartnn
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u need domain and range of
P(s)=69.70s-1077
right?
hiralpatel121
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Yes
hartnn
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what values can s take ? any ?
hiralpatel121
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What do you mean?
hartnn
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is there any restriction on value of s ?
hiralpatel121
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First I found P(0) which equals (0, -1077). Then I found P(s) which equals (15.45, 0)
hiralpatel121
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Those are the two points. Now I have to graph it and then find the domain and range.
pradipgr817
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in order to make profit domain should be [16, max no of radio available]
correspondingly you can find range.
hiralpatel121
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Wouldn't the domain be [0,-1077]?
pradipgr817
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lets say total no. of radio is a
your function is P(s)=69.70s-1077
values of s is the domain
at s=15.45 break even point occurs so at this point P(s)=0
But radio quantity is in integer so s=16. Nowo if he sells more than this only he will get profit i.e.,
[16 a]
at 16 P(s)=0 and at s=a, P(a), so range is [P(16) P(a)]=[0 P(a)]
pradipgr817
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Is it clear?
hiralpatel121
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I don't get it.
pradipgr817
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:(
hiralpatel121
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So would range be [0, 15.45]?
pradipgr817
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lets solve together. you start I'll correct you
hiralpatel121
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I have already solved it earlier. [0, -1077] and [15.45, 0]
hiralpatel121
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Now the directions say to graph these points and then determine the domain and range.
pradipgr817
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in that answer is correct your domain is (0 infinity) [all possibilities included]
hiralpatel121
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So what's the range?
pradipgr817
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[-1077 infinity)
hiralpatel121
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Okay so Domain is [0, infinity) and Range is [-1077, infinity). Correct?
pradipgr817
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yes
hiralpatel121
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Why wouldn't the domain be [0, 15.45]?
pradipgr817
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first of all no. of radio cannot be 15.45
hiralpatel121
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Nevermind, I got it. Can you help me with one more problem?
pradipgr817
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second during this part only loss will occur. what about the profits?
it will occur after your 15.45 so extend your range.
finally max. no. of radio are not given so infinite number can exist. therefore domain is
[0 infinity), not below zero as number of radio cannot be negative
pradipgr817
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Yea sure please ask. If I'll be able to help I'll surely do.
hiralpatel121
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pradipgr817
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all parts?
hiralpatel121
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Yes
pradipgr817
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a)
(8, 45.7), (11, 48.1)
hiralpatel121
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Okay
hiralpatel121
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Is (b) y = .8x+39.3 ?
pradipgr817
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you put the values of x and y in equation and solve it.
I haven't solved it. To check you got it right put the know value and check the answer
pradipgr817
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*known
hiralpatel121
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m = 48.1-45.7/11-8 = -2.4/3 = .8
y-y1=m(x-x1)
y-45.7 = .8(x-8)
y-45.7 = .8x-6.4
y = .8x+39.3
pradipgr817
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yes. you got it.
pradipgr817
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put x=15 and obtain output
hiralpatel121
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I got I = 51.3
pradipgr817
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so can you interpret the results?
hiralpatel121
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"In 2015, PA's per capita income was $51.3 thousand." ??
pradipgr817
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will be
hiralpatel121
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Okay
pradipgr817
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what about the trend?
hiralpatel121
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I have no clue.
pradipgr817
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Initially in 2000, the income was 39.3 (your intercept). This per capita income increases unifomly, whose rate is given by the slope of the curve, which is 0.8.
pradipgr817
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and as the time will progress the per capita income will increase only. as per the equation, with increase in time it cannot decrease.
pradipgr817
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I hope you got it?
hiralpatel121
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Yes, I got it.
pradipgr817
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:)
hiralpatel121
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I need help with a few more whenever you're free.
pradipgr817
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ok no problem.
hiralpatel121
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pradipgr817
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which part?
pradipgr817
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hey u thr? Is (a) solved.
hiralpatel121
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No. Neither of them are solved. I don't understand any of the parts.
pradipgr817
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you need to fit the data given to a equation.
hiralpatel121
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Okay
pradipgr817
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the line will be y=mx+c form.
pradipgr817
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find m first using the equations on web page(beta)
then find c( alpha on web page)
pradipgr817
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let me know when you got something.
hiralpatel121
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Honestly, I have no idea how to do this.
pradipgr817
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giv me 5 min
pradipgr817
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see, t is years sine 2000. So subtract 2000 from years. You have 5, 7...11 as x. and ticket cost is y
pradipgr817
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now find the average of x and y separately.
pradipgr817
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got upto this?
hiralpatel121
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How would I find the average of x and y?
pradipgr817
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sum all numbers of x and divide by total number of values of x, similarly for y
pradipgr817
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on page 9 formula are written use them.