Question

a construction crew is lengthening a road that originally measured 52 miles. the crew is adding one mile to the road each day.
let l be the length (in miles) after d days of construction.
write an equation relating l to d. then use this equation to find the length of the road after 35 days.
equation:
length of the road after 35 days: miles

Explanation:

Step1: Form the equation

The original length is 52 miles, and each day 1 mile is added. So the length \( L \) after \( D \) days is the original length plus the miles added in \( D \) days. The miles added in \( D \) days is \( 1\times D = D \). So the equation is \( L = 52 + D \).

Step2: Calculate length after 35 days

Substitute \( D = 35 \) into the equation \( L = 52 + D \). So \( L = 52 + 35 \). Calculating that, \( 52+35 = 87 \).

Answer:

Equation: \( L = 52 + D \)
Length of the road after 35 days: 87 miles