Question

An online shopping club has 4,800 members when it charges

$8 per month for membership. For each $1 monthly increase in
membership fee, the club loses approximately 200 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.
R(x)=
(Simplify your answer. Do not include the $ symbol in your answer.)
Online Shopping Club
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S 23
M 53
L21
XL 32
te bes
$11
M 45
L 25
XL 28
LIVED

Answer 1

The function R(x) represents the monthly revenue received by the online shopping club when x represents the price increase. R(x) = 4800x - 200x^2 + 48,000.

Step-by-step explanation:

To write a function that represents the monthly revenue received by the online shopping club, we can start by determining the number of members remaining after each price increase.

Since the club loses approximately 200 members for each $1 increase in the membership fee, we can calculate the number of members as 4,800 - 200x, where x represents the price increase.

Next, we multiply the number of members by the monthly fee to find the monthly revenue.

Therefore, the function R(x) that represents the monthly revenue is given by:

R(x) = (4,800 - 200x)(8 + x), which simplifies to:

R(x) = 4800x - 200x^2 + 48,000.