Question

25. A new app was downloaded 175 times in its first week Since then the number of downloads

increased by 16.5% each week. Use a continuous exponential growth model to approximate
the number of times the app was downloaded in 2 week
37
0/1
37

Answer 1

238 times

Explanation:

Given

`a = 175` -- first week

`r = 16.5\%`--- growth per week

`t = 2` --- time

Required

The number of times it was downloaded in 2 weeks

An exponential growth is represented as:

`y = a(1 + r)^t`

So, we have:

`y = 175 * (1 + 16.5\%)^2`

`y = 175 * (1.165)^2`

`y = 175 * 1.357225`

`y = 237.514375`

`y = 238` -- approximated