I need some help please. Write a function rule to describe each statement... the cost in dollars of printing dollar bills when it costs 3.8cents to print a dollar bill. the amount of money you earn mowing lawns at $15 per lawn. the profit you make selling flowers at $1.50 each when each flower costs you $.80

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I need some help please. Write a function rule to describe each statement... the cost in dollars of printing dollar bills when it costs 3.8cents to print a dollar bill. the amount of money you earn mowing lawns at $15 per lawn. the profit you make selling flowers at $1.50 each when each flower costs you $.80

Mathematics
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it costs 3.8 cents to print 1 dollar its costs 2 times 3.8 cents to print two dollars it costs 3 times 3.8 cents to print 3 dollars you can see a pattern here right?
yeah,but how do i write them as function rules?
we use variables! there should be two of them; one will represent the number of dollars, lets call that x and the other will represent the cost to print them, lets call that y

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my teacher told me to write the functions as f(x)=...
ok lets use f(x) instead of y so the cost to print, f(x), should equal the number of dollars, x, times 3.8 cents
so f(x)=3.8x
yes
ok so then for the second one would it be... f(x)=$15x
yep
but actually I made a mistake on the first one
I d dont understand how to write the third one though.
the function for the first part should give us the cost in dollars, with f(x) = 3.8x we'll end up with the number of cents
so you just convert 3.8 cents into dollars which should be .038
the profit you make selling flowers at $1.50 each when each flower costs you $.80
what is the profit if I sell one flower?
70 cents
right.. and if i sell two flowers?
a dollar and 40 cents
which is the same as 2 times 70 cents right? if I sell 3 flowers the profit would be 3 times 70 cents and if I sell x flowers the profit will be x times 70 cents
ok so... would the function be f(x)=.70x?
yes! good job
Thanks. Now i have another question i have this equation... f(x)=$0.59x where x+number of pounds. if i had $10 to buy that turkey how big a turkey could i buy?
you have f(x) = $0.59x which in words is, the cost of a turkey, f(x), is the number of pounds, x, times 59 cents
so the cost of a turkey is a function of the number of pounds that it weighs, does that make sense so far?
yeah. i was wondering where you d plug in the $10.
the ten dollars goes where dollars is represented in the equation
x is pounds f(x) is dollars so the equation, when we put in 10 dollars, becomes $10 = $0.59x
and by solving for x you will have found out how big a turkey you could by with 10 dollars
does that make sense?
16.95lb. is what i got. Yeah it does make sense.
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i dont see the rule for either of these. It says to write a function rule. By the way.. they are two seperate questions.
ok lets start with the top one we need to find a way to relate x and y in other words we need to be able to describe how much y changes when x changes we can do this with a function y = x times (some number)
i know that,but idk what number it should be.,
we can find out what number it is by calculating the slope between the points that are given
with m = (y2-y1)/(x2-x1)
ok. so what should i get?
lets use the points: (0,1) and (1,3) m = (3-1)/(1-0) = 2
i understand it for the second table the answer would be f(x)=-4.5x. But i still dont see a pattern in the first one.
maybe graphing the points and seeing them line up would help
the y's are going up by two except for the last one.
because its a negative x in the last one, if it were positive 3 then y would be 7
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thats the pattern if we follow the negative x points
the reason it isnt as easy to see as the second problem is because this function will have the form y = mx + b
whereas the second one was just y = mx
ok so whats the function rule.
well we're using y = mx + b as the template for our function, we found m to be 2, now we need to find b
so we have y = 2x + b since we're given points we can substitute one in for the values of x and y, and then solve for b so if we use (0,1) as our point we get 1 = 2(0) + b so b = -1
and keep in mind that we could have used any of the points that were given for example if we used (2,5) we get 5 = 2(2) +b and again b = -1
so now that we know b, we can finally write the function as y = 2x -1
thank you.
np :)

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