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Question 360194: Please help!!:
The cost C of double-dipped chocolate pretzels varies directly with the number of pounds of pretzels purchased, P. If the cost is $54.42 when 5.0 pounds are purchased, find a linear function that relates the cost C to the number of pounds of pretzels purchased P. Then find the cost C when 6.0 pounds are purchased.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! the total cost of double dipped chocolate pretzels varies directly with the number of pounds of pretzels purchased.
let C = total cost of pretzels.
let P = number of pounds of pretzels bought.
Since this ia a direct proportion, we get C = k*Q where k is the constant of proportionality.
When C = 54.42, P = 5
Our equation becomes:
54.42 = k*5
divide both sides of this equation by 5 to get:
k = 10.884
if we buy 6 pounds, we can find C since we now know what the constant of proportionality is.
we get C = 10.884 * 6 = 65.304
the constant of proportionality k in this equation just happens to be the cost per pound of chocolate.
assume the cost of each pound of pretzels is 10.884.
then 5 pounds = 10.884 * 5 = 54.42
and 6 pounds = 10.884 * 6 = 65.304
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