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. (lesson 4-8)

( square ) a) ( g - 0.05 )

( square ) b) ( g - 0.05g )

( square ) c) ( 0.95g )

( square ) d) ( 0.05g )

( square ) e) ( (1 - 0.05)g )

Explanation:

Step1: Understand the decrease

The amount of rain last week is \( g \) inches. A 5% decrease means we subtract 5% of \( g \) from \( g \). 5% of \( g \) is \( 0.05g \), so the amount this week can be written as \( g - 0.05g \) (this is option B).

Step2: Simplify the expression

Simplify \( g - 0.05g \). Factor out \( g \): \( g(1 - 0.05) \). Calculate \( 1 - 0.05 = 0.95 \), so this becomes \( 0.95g \) (option C) or \( (1 - 0.05)g \) (option E). Option A subtracts 0.05 (a constant, not 5% of \( g \)) and option D is just 5% of \( g \), not the remaining amount.

Answer:

B) \( g - 0.05g \), C) \( 0.95g \), E) \( (1 - 0.05)g \)