Answer:
$3,874.57
Explanation:
To calculate how much money Buffy will make in total over 7 weeks, we can use the formula for the sum of the first n terms of a geometric series

In his first week of business, Buffy's profits were $282.
Therefore, a = 282.
As his profits increase by 22% each week, his revenue is 122% of the previous week. As a decimal, 122% = 1.22.
Therefore, r = 1.22.
We want to find the total amount he will make over 7 weeks.
Therefore, n = 7.
Substitute the values of a, r and n into the formula and solve:

Therefore, the total amount Buffy will make over 7 weeks is $3,874.57 to the nearest cent.