Question

(25 points) A construction crew is lengthening a road. Let y represent the total length of the road (in miles). Let x represent the number of days the crew has worked. Suppose that x and y are related by the equation 2x +54 = y.

Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.

What is the change per day in the road's length? ___ miles
What was the road's length when the crew started working? ____ miles

Answer 1

L=193

Explanation:

Initial length of the road =57mi

L= Total length

D=number of days worked

Number of miles added in 1 day= 4mi

Therefore,

L=57+D*4

After 34 days,

L=57+(34*4)

L=193mi