SOLUTION: The cost C of double-dipped chocolate pretzel O's varies directly with the number of pounds of pretzels purchased, P. If the cost is $5442 when 5.0 pounds are purchased, find a li

Algebra ->  Finance -> SOLUTION: The cost C of double-dipped chocolate pretzel O's varies directly with the number of pounds of pretzels purchased, P. If the cost is $5442 when 5.0 pounds are purchased, find a li      Log On


   

Question 1060951: The cost C of double-dipped chocolate pretzel O's varies directly with the number of pounds of pretzels purchased, P. If the cost is $5442 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.
a. C = 0.092P; $0.55
b. C = 10.884P; $65.30
c. C = 272.1 / P ; $45.35
d. C = 9.07P; $45.35
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The cost is $54.42 when 5.0 pounds are purchased. (The decimal point was missing).

TIP: Sometimes you do not need to waste time doing complicated calculations.
The cost for 6.0 pounds should be more than for 5.0 pounds, so b. with a cost of $65.30 for 6.0 pounds looks like the only reasonable answer.
It even shows in the equation (C = 10.884P) that the cost per pound is $10.884,
so 1.0 pounds more than 5.0 pounds should get the total to
$54.42 + $10.884 = $65.304, rounded to $65.30.