A construction orew is lengthening a road The raad started w

A construction orew is lengthening a road. The raad started with a length of 57 murs, and the is adding 4 mies to the road each day. Let L represent the total length of the road (n miles), and let D represent the number of days the orw has warked. wrte an equation relating Lto D. Then use this equation to find the total length of the road after the crew has worked 31 days. Total length of the raad after 31 days:

Solution

Length of road initialy = 57 miles

road build each day = 4 miles

After day 1 length will be

L = 57 + 4*1

After day 2:

L = 57 + 4*2

Similarly after day 3

L = 57 + 4*3

So you can see that the relation will be

L = 57 + 4*D

where = D is the number of days

Now after 31 days length of road will be

L = 57 + 4*31

L = 181 miles