Question

Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. The expression 1,500(1+0.35)h finds the number of amoebas after h hours. Which statement about this expression is true?

A. It is the initial population raised to the growth factor after h hours.

B. It is the sum of the initial population and the percent increase.

C. It is the sum of the initial population and the growth factor after h hours.

D. It is the product of the initial population and the growth factor after h hours.

Answer 1

Option D.

Explanation:

The growth factor is (1 + 0.35)^h so 1500(1 + 0.35)^h is the product of initial population and the growth factor.

Answer 2

Answer: It is the product of the initial population and the growth factor after h hours.

Explanation:

Given: Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h.

The expression
`1,500(1+0.35)^h` finds the number of amoebas after h hours.

On simplifying the above expression we get,
`1,500(1.35)^h`.

At h=0, the initial population of amoebas = 1,500

At h=1, the population of amoebas =
`1,500(1.35)`

The growth factor =
`(1,500(1.35))/(1500)=1.35`

Hence, the expression
`1,500(1+0.35)^h`, is the product of the initial population and the growth factor after h hours.