Question

HELPPP The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year. Which exponential growth model shows the club's membership in terms of t, the number of years since 2001? s since 2001?

A. y=20(36)t


B. y=36(0.2)t


C. y=36(1.2)t


D. y=36(20)t

Answer 1

C. y=36(1.2)t

Explanation:

The number of members in the Club in t years after 2001 is given by an equation in the following format:

`y = y(0)(1+r)^(t)`

In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.

The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.

This means that
`y(0) = 36, r = 0.2`

So

`y = y(0)(1+r)^(t)`

`y = 36(1+0.2)^(t)`

`y = 36(1.2)^(t)`

The correct answer is C.