Question

a construction crew is lengthening a road. the road started with a length of 59 miles, and the crew is adding 3 miles to the road each day. let l represent the total length of the road (in miles), and let d represent the number of days the crew has worked. write an equation relating l to d. then use this equation to find the total length of the road after the crew has worked 31 days. equation: total length of the road after 31 days: miles

Explanation:

Step1: Define the equation

The initial length is 59 miles, and each day 3 miles are added. So the total length \( L \) (in miles) after \( D \) days is given by the equation \( L = 59 + 3D \).

Step2: Substitute \( D = 31 \)

Now, we substitute \( D = 31 \) into the equation. So \( L = 59 + 3\times31 \). First, calculate \( 3\times31 = 93 \). Then, \( L = 59 + 93 \).

Step3: Calculate the sum

Adding 59 and 93, we get \( 59 + 93 = 152 \).

Answer:

Equation: \( L = 59 + 3D \)
Total length of the road after 31 days: \( 152 \) miles