Question

7 multiple answer 1 point last week, the price, in dollars, of a gallon of gasoline was g. this week, the price of gasoline per gallon increased by 5%. which expressions represent this weeks price, in dollars, of a gallon of gasoline? select all that apply. a. g + 0.05 b. g + 0.05g c. 1.05g d. 0.05g e. (1 + 0.05)g

Explanation:

Step1: Understand the increase

A 5% increase means we add 5% of \( g \) to \( g \). 5% of \( g \) is \( 0.05g \).

Step2: Analyze each option

• Option A: \( g + 0.05 \) adds 0.05 (a constant) not 5% of \( g \), so incorrect.
• Option B: \( g + 0.05g \) adds the original price \( g \) and 5% of \( g \) (which is \( 0.05g \)), correct.
• Option C: \( 1.05g \) is equivalent to \( g + 0.05g \) (since \( 1g + 0.05g = 1.05g \)), correct.
• Option D: \( 0.05g \) is just the increase, not the new price, incorrect.
• Option E: \( (1 + 0.05)g = 1.05g \), same as above, correct.

Answer:

B. \( g + 0.05g \), C. \( 1.05g \), E. \( (1 + 0.05)g \)