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. Here, \(15+(-3)\) is the net number of residents per year (15 move in and 3 move out, so net \(15 - 3=12\) per year).

Step2: Calculate the total

Multiplying the net number of residents per year (\(12\)) by the number of years (\(5\)) gives the total net number of residents after 5 years. \(5\times12 = 60\).

Answer:

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