Answer:
The function to represent the revenue received by the club is [tex]R(x) =(13500-500x) \times (8+x)[/tex]
Step-by-step 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 [tex]500 \times 1[/tex]
for 2 month , 2 dollar increase will lead to decrease of [tex]500 \times 2[/tex] = 1000 members
So for x months
The decrease in the members = [tex]500 \times x[/tex]= 500x
Also the increase in the membership fee will be 8 + x
Now
[tex]\text{Monthly revenue} = \text{Number of Members} \times \text{Monthly fee}[/tex]
[tex]\text{Monthly revenue} =(13500-500x) \times (8+x)[/tex]
[tex]R(x)= (13500-500x) \times (8+x)[/tex]
Answer:-500x^2+11,000x+120,000
Step-by-step explanation:
I just got the question wrong and it said that the answer I wrote above was correct
