The cost of denim fabric is directly proportional to the amo
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 $25.50 for 3 yards. Find k and rewrite the formula for C(x) using it.
C(x)=
(c) Plot at least 3 points on the function C(x) with x on the horizontal axis.
(d) How much does it cost to buy 8.5 yards of denim?
Enter the exact answer.
Solution
a) C(x) is directly proportional to the yard that is x
Therefore equation is C(x)=k * x
b)25.50= 3k
k=25.50/3
d) C(x)= 25.50/3* 8.5=$ 72.25
