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 \(5(15 + (-3))\) represents the total number of new residents over 5 years. \(15\) is the number of new residents moving in each year, \(-3\) is the net change (since 3 move away each year, so it's like adding \(-3\) to the total each year).

Step2: Calculate the value inside the parentheses

\(15+(-3)=15 - 3=12\). This means the net increase in residents per year is 12.

Step3: Multiply by 5

\(5\times12 = 60\). This 60 represents the total net increase in residents over 5 years.

Answer:

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