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

In the expression \(5(15 + (-3))\), \(15\) is the number of new residents moving in each year, \(-3\) represents the \(3\) residents moving out each year (so net change per year is \(15- 3=12\)), and \(5\) is the number of years.

Step2: Calculate the total net change

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This means after \(5\) years, the net number of new residents (considering both in - moves and out - moves) is \(60\).

Answer:

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