Question

Gasoline prices occasionally fluctuate during a two-month period of time. Prices increased 34 cents per gallon during the month of April and decreased 17 cents per gallon during the month of May. Which situation has the greater absolute value? Explain.
A. Increase of 34 cents; |34|=34, |-17|=17,and 34>17
B. Increase of 34 cents; |34|=34,|-17|=17,and 34>17
C. Decrease of 17 cents; |34|=34,|-17|=17,and 34>17
D. Decrease of 17 cents; |34|=34,|-17|=-17, and 34>-17

Answer 1

The answer is B, Increase of 34 cents; |34|=34,|-17|=17,and 34>17

Answer 2

Answer:

The situation which has a greater absolute value is:

•   Increase of 34 cents; |34|=34,|-17|=17,and 34>17

Step-by-step explanation:

It is given that:

The price of Gasoline increased 34 cents per gallon during the month of April and decreased 17 cents per gallon during the month of May.

This means that the increase in 34 cents is denoted by: +34

and the absolute value is given by: |34|=34

and the decrease in 17 cents is given by: -17

and it's absolute value is given by: |-17|=17

Hence, we get that:

34 > 17

Hence, the increase in 34 cents has a greater absolute value.