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 components

The expression is $5(15 + (- 3))$. Here, $15$ is the number of new - comers per year and $-3$ is the number of people leaving per year. So, $15+(-3)$ represents the net increase in the number of residents per year.

Step2: Understand the multiplier

The number $5$ in the expression represents the number of years.

Step3: Interpret the result

When we calculate $5(15 + (-3))$, we are finding the total net increase in the number of residents in the suburb over 5 years.

Answer:

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