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.
(explanation please!!!)

Answer 1

The expression 1,500(1+0.35)h represents the number of amoebas after h hours. The correct statement about this expression is D) It is the product of the initial population and the growth factor after h hours.

Step-by-step explanation:

The expression 1,500(1+0.35)h represents the number of amoebas after h hours. Let's break down the expression:

• The initial population, 1,500, is multiplied by the growth factor, 1+0.35, which represents a 35% increase per hour.
• The result is then raised to the power of h, which represents the number of hours.

Therefore, the correct statement about this expression is D) It is the product of the initial population and the growth factor after h hours.