Question

A city currently has 138 streetlights. As part of an urban renewal program, the city council has decided to install 3 additional streetlights at the end of each week for the next 52 weeks. Use this information to complete the following statements. Round to the nearest whole number as needed.

A)The city will have_______streetlights at the end of 28 weeks.

B)The city will have 225 streetlights at the end of______weeks.

Answer 1

At the end of 28 weeks, the city will have 222 streetlights. The city will have 225 streetlights at the end of 29 weeks.

Step-by-step explanation:

The city starts with 138 streetlights and plans to add 3 more each week for 28 weeks. To find the total number of streetlights at the end of 28 weeks, we use the formula:

Total streetlights = Initial streetlights + (Number of streetlights added per week × Number of weeks)

Total streetlights = 138 + (3 × 28) = 138 + 84 = 222 streetlights.

To find out after how many weeks there will be 225 streetlights, we set up the equation:

138 + 3x = 225, where x is the number of weeks. Solving for x gives us:

3x = 225 - 138 = 87,

x = 87 / 3,

x = 29 weeks.