An online shopping club has 13000 members when it charges $7 per month for membership. For each $ monthly increase in 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 = # members•monthly fee

Just a answer with work will do, ill brainliest the best one.

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BKWong2007 BKWong2007 · Answer 1 · 2021-02-10T23:29:36+01:00

Answer:

The function is: [tex]R(x)=(13000-500x)[/tex] × [tex](7 + x)[/tex]

Step-by-step explanation:

Total members=13000

Membership charge per month=$7

Increase in Membership charge per month=$1

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

For 1 month, 1 dollar decrease is 500 × 1

For x months, the decrease in the members is 500 × [tex]x[/tex] =[tex]500x[/tex]

The increase in membership fee is 7 + [tex]x[/tex]

After that,

Monthly revenue = Number of members × Monthly fee

Monthly revenue = [tex](13000-500x)[/tex] × [tex](7 + x)[/tex]

[tex]R(x)=(13000-500x)[/tex] × [tex](7 + x)[/tex]

Hope this helps and have a nice day!