Question

A social networking site currently has 400,000 active members, and that figure is predicted to increase by 32% each year. The following expression represents the number of active members on the site after t years.

Answer 1

`y=400,000(1.32)^t`

Explanation:

Equations for exponential growth are of the form

y = a(1+r)ˣ, where a represents the initial amount, r represents the percent of growth per year and x represents the amount of time.

In this case, the site currently has 400,000 members; this is our value for a.

The growth is expected to be 32% per year; 32% = 32/100 = 0.32; this is r.

We are using t for time.

This gives us

`y=a(1+r)^x\\\\y = 400,000(1+0.32)^t\\\\y = 400,000(1.32)^t`

Answer 2

400000 * (1 + 0.32)^t

= 400000 * 1.32^t