An online shopping club has 11600 members when it charges $8 per month for membership. For each 1$ monthly increase in membership fee, the club loses approximately 400 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.

R(x) = (11,200 - 400x) * (7 + x)

Explanation:

Monthly revenue = Number of members * Monthly fee (1)

Where;

Number of members = 11,200

Monthly fee = $7

For each $1 monthly increase in membership fee, we have

For 1 month, one dollar the decrease = 400 * 1 = 400

For 2 months, 2 dollar increase will lead to decrease of 400* 2 = 800 members

Therefore, for x months

Innrease in membeship fee or price increase = 7 + x

Decrease in the numbers of members = 400x

Substitute the values into equation (1), we have:

Monthly revenue = R(x) = (11,200 - 400x) * (7 + x)

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We have that

Revenue  =  Members  *  (Cost Per Member)

R  = (4600 - 200x) ( 9 + 1x)

Where x represents the number of $1  increases

Explanation:

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the answer is option 1

explanation: