Question

A city currently has 137 streetlights. As part of a urban renewal program, the city council has decided to install 3 additional streetlights at the end of each week for the next 52 weeks.How many streetlights will the city have at the end of 31 weeks?

Answer 1

`y=\text{ 230 streetlights}`

Explanation:

This situation can be represented as a linear equation since it has an initial value and a constant rate of change per week. Remember that linear equations are given as:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{ constant rate of change} \\ b=\text{ initial value} \end{gathered}`

Then, to determine how many streetlights the city will have at the end of 31 weeks, substitute x=31 into the following equation;

`\begin{gathered} y=3x+137 \\ y=3(31)+137 \\ y=\text{ 230 streetlights} \end{gathered}`