A construction crew is lengthening a road. The road started with a length of 59 miles, and the crew is adding 4 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.

The total length of the road after the crew has worked 31 days is 183 miles.

Step-by-step explanation:

As given

A construction crew is lengthening a road.

The road started with a length of 59 miles, and the crew is adding 4 miles to the road each day.

let L represent the total length of the road (in miles).

let D represent the number of days the crew has worked.

Than the equation becomes

L = 59 + 4D

Now find out the total length of the road after the crew has worked 31 days.

D = 31 days

Put in the equation

L = 59 + 4 * 31

= 59 + 124

L = 183 miles

Therefore the total length of the road after the crew has worked 31 days is 183 miles.