Question

Sasha read a book for 15 minutes every weekend in the first month, 30 minutes in the second month, 60 minutes in the third month, and 120 minutes in the fourth month. Parker read a book for 25 minutes every weekend in the first month, 40 minutes in the second month, 55 minutes in the third month, and 70 minutes in the fourth month. Which statement best describes the methods used by Sasha and Parker to increase the time they spent reading a book? a.Both Parker's and Sasha's methods are exponential because the number of minutes increased by an equal number every month. b.Both Parker's and Sasha's methods are exponential because the number of minutes increased by an equal factor every month. c.Parker's method is linear because the number of minutes increased by an equal number every month. d.Sasha's method is linear because the number of minutes increased by an equal factor every month.

Answer 1

Answer:D

Explanation:

To determine whether Sasha's and Parker's methods for increasing the time they spent reading a book are linear or exponential, let's examine the rate at which their reading time increases:

Sasha:

First month: 15 minutes

Second month: 30 minutes (double the first month)

Third month: 60 minutes (double the second month)

Fourth month: 120 minutes (double the third month)

Sasha's method is exponential because her reading time doubles each month. This is an exponential growth pattern.

Parker:

First month: 25 minutes

Second month: 40 minutes

Third month: 55 minutes

Fourth month: 70 minutes

Parker's method is linear because the number of minutes increases by a constant amount (15 minutes) every month. This is an example of linear growth.

So, the best statement to describe their methods is:

d. Sasha's method is linear because the number of minutes increased by an equal factor every month, while Parker's method is linear because the number of minutes increased by an equal number every month