Questions: A city currently has 132 streetlights. As part of an urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks. How many streetlights will the city have at the end of 36 weeks? streetlights

A city currently has 132 streetlights. As part of an urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks.

How many streetlights will the city have at the end of 36 weeks?
streetlights

Transcript text: A city currently has 132 streetlights. As part of a urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks. How many streetlights will the city have at the end of 36 weeks? $\square$ streetlights Submit Question

Solution

Solution Steps

Step 1: Identify the Parameters

The initial number of streetlights, $S_0$, is 132. The number of streetlights added each week, $n$, is 2. The total duration in weeks for which the streetlights are added, $T$, is 52. The specific number of weeks after which the total number of streetlights is to be calculated, $t$, is 36.

Step 2: Apply the Formula

To find the total number of streetlights after $t$ weeks, we use the formula: \[S_t = S_0 + n \times t\] Substituting the given values, we get: \[S_t = 132 + 2 imes 36 = 204\]