Question

An online shopping club has 13,500 members when it charges $8 per month for membership. For each $1 monthly increase in membership fee, the club loses approximately 500 of its existing members

Answer 1

Answer:-500x^2+11,000x+120,000

Explanation:

I just got the question wrong and it said that the answer I wrote above was correct

Answer 2

The function to represent the revenue received by the club is
`R(x) =(13500-500x) * (8+x)`

Explanation:

Given:

Total members in the Online shopping Club = 13,500

Membership Charge per month = $8

Increase in the Membership charge per month = $1

For each $1 monthly increase in membership fee, the club loses approximately = 500 members

To Find :

The function to represent the revenue received by the club when x is the price increase

Solution:

For Each month $1 increased is every month which leads to decrease in the members by 500

For 1 month , one dollar the decrease is
`500 * 1`

for 2 month , 2 dollar increase will lead to decrease of
`500 * 2` = 1000 members

So for x months

The decrease in the members =
`500 * x`= 500x

Also the increase in the membership fee will be 8 + x

Now

`\text{Monthly revenue} = \text{Number of Members} * \text{Monthly fee}`

`\text{Monthly revenue} =(13500-500x) * (8+x)`

`R(x)= (13500-500x) * (8+x)`