6. (2.5 pts) At the beginning of week 5, they broke up. Jack wanted to run off to the city with Diane, but Diane said he was crazy. Unfortunately, their relationship ended. Both were
angry with each other. Suppose we could somehow quantify and measure anger. Let's
call the units "anger units”. On the day of the break-up, Jack had 100 anger units. Every
week he lost 5% of his anger. Recall that the growth factor needs to be the amount that
"stays on” Jack (not the 5% that "comes off” Jack). For example, after 1 week, he had 95
anger units. After 2 weeks he had 90.25 anger units, and so on. Write an equation that
models Jack's anger (let that be )) after t weeks.