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 net change in the number of residents over 5 years.

Step2: Calculate the net change per year

\(15+(-3)=15 - 3=12\) (net increase of 12 residents per year).

Step3: Calculate the total change over 5 years

\(5\times12 = 60\). This means after 5 years, the total net increase in the number of residents is 60. So, after five years, there are 60 new residents in a suburb.

Answer:

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