The cost of denim fabric is directly proportional to the amount that you buy. Le

ID: 3426872 • Letter: T

Question

The cost of denim fabric is directly proportional to the amount that you buy. Let C(x) be the cost, in dollars, of x yards of denim fabric.

(a) Write a formula for the cost, C(x), in terms of x. Your answer will contain a constant, k.

C(x)=

(b) A particular type of denim costs $25.50 for 3 yards. Find k and rewrite the formula for C(x) using it.

C(x)=

(c) Plot at least 3 points on the function C(x) with x on the horizontal axis.

(d) How much does it cost to buy 8.5 yards of denim?

Enter the exact answer.

a) C(x) is directly proportional to the yard that is x

Therefore equation is C(x)=k * x

b)25.50= 3k

k=25.50/3

d) C(x)= 25.50/3* 8.5=$ 72.25

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