Question

How many of road does the crew need to pave?

Answer 1

We have a function that relates the length L left to be paved in function of d, the number of days:

`L(d)=202-8d`

a) We can calculate this as L(13), as d = 13:

`\begin{gathered} L(13)=202-8(13) \\ L(13)=202-104 \\ L(13)=98 \end{gathered}`

After 13 days, 98 miles are left to pave.

b) If 130 milesis left to be paved, we have L = 130.

We can calculate d as:

`\begin{gathered} L(d)=130 \\ 202-8d=130 \\ 202-130=8d \\ 72=8d \\ d=(72)/(8) \\ d=9 \end{gathered}`

Answer:

a) 98 miles.

b) 9 days.