Question

A construction crew is lengthening a road that originally measured 10 miles. The crew is adding one mile to the road each day.Let L be the length (in miles) after D days of construction.Write an equation relating L to D. Then graph your equation using the axes below.

Answer 1

Let:

L = length of the road

D = Days of construction

We can write a linear equation in the slope-intercept form:

`y=mx+b`

Where:

m = Slope = rate = 1 mile per day

b = y-intercept = Initial value = 10 miles

Therefore:

`\begin{gathered} L=1D+10 \\ L=D+10 \end{gathered}`

The graph is: