Question

Please help!! 30 points!

A discount sports store has been open for 17 years. For this time period, the store’s annual revenue, R (in millions of dollars), can be modeled by the function
(picture) where t represents the number of years since the store opened. Determine the number of years the store was in business when the revenue amount reached $8.2 million.

Answer 1

9514 1404 393

Answer:

10 years

Explanation:

We want to find the value of t when R = 8.2. Equivalently, we want to find t when ...

0.001(-t^3 +16t^2 +900t -1400) -8.2 = 0

A graphing calculator is useful for finding real solutions to this equation. The attachment shows the store was in business 10 years when revenue reached 8.2 million.