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.

Respuesta :

Answer:

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.