interpreting the parameters of a linear function that models a real scenario

Question

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 y=52+2x

.

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 was the road's length when the crew started working? (in miles)

What is the change per day in the road's length?

Answer 1

y = 52 +2x

length of road when x =0 is y=52 miles

change per day = +2 miles