Question

An online shopping club has 14,000 members when it charges ​$9 per month for membership. For each ​$1 monthly increase in the membership​ fee, the club loses approximately 500 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.

​Hint: Monthly revenue​ = # membersmonthly fee.

Answer 1

9514 1404 393

Answer:

R = -500x^2 +9500x +126000

Explanation:

The revenue is the product of number of members and membership fee. For a price increase of x, the number of members is said to be ...

14,000 -500x

For a price increase of x, the membership fee will be ...

9 +x

Then the revenue is ...

R = (14000 -500x)(9 +x)

R = -500x^2 +9500x +126000