Question

in suburbs of large cities,15 new residents move in each year. of those 15, three will move away each year. which of the of the following best describes the meaning of 60, from the expression: $5(15+(-3)) = 60$? a each year 60 new residents move into the suburb. b after five years, 60 new residents have already moved out of a certain suburb. c after five years, there are 60 new residents in a suburb. d over five years, 60 residents first move in, then move out of the suburb.

Explanation:

Step1: Analyze the expression

The expression \(5(15+( - 3))\). Here, \(15+( - 3)=15 - 3 = 12\) represents the net number of new residents per year (15 move in and 3 move out).

Step2: Interpret the multiplier

The number 5 represents the number of years.

Step3: Calculate the total

When we calculate \(5\times12 = 60\), it means that after 5 years, the total number of new residents (considering the net gain each year) is 60. So 60 is the total number of new residents in the suburb after 5 years.

Answer:

C. After five years, there are 60 new residents in a suburb.