Question

Last week it rained g inches. This week, the amount of rain decreased by 5% Which expressions represent the amount of rain that fell this week? Select all that apply.

Answer 1

Options :

A. g - 0.05

B. g - 0.05g

C. 0.95g

D. 0.058

E. (1 – 0.05)g

Answer:

B. g - 0.05g

C. 0.95g

E. (1 – 0.05)g

Explanation:

Given that :

Amount of Rainfall last week = g inches

Percentage change in Rainfall amount this week = 5%

Rainfall amount this week:

Amount of Rainfall lastweek(100% - 5%)

g(1 - 0.05) = g - 0.05g

g(1 - 0.05)

g(0.95) = 0.95g

Thus the expression, Amount of Rainfall lastweek(100% - 5%) could be rewritten or simplified into any of the expressions above and still arrive at the same solution.