Question

In the mail, you receive a coupon for $5 off for a pair of jeans, which is represented by the function j(x)=x−5. When you arrive at the store, you find that all jeans are 25% off, which is represented by the function s(x)=0.75x. Which of the functions below represents how much you would pay for a pair of jeans, C(x)=s(j(x)) , if you use the coupon first followed by applying the discount from the store? (Do not consider tax.)

A .C(x)=0.75x−5
B .C(x)=0.75(x−5)
C .C(x)=0.75x−x−5
D .C(x)=x−5−0.75

Answer 1

Answer: B

Step-by-step explanation: The function C(x) = s(j(x)) shows you how to solve it.

First in the parenthesis j(x) so you have to substitute since they told you

j(x) = x-5

Next s(x-5) and s(x-5) = 0.75(x-5) through substitution