We have a function that relates the length L left to be paved in function of d, the number of days:
[tex]L(d)=202-8d[/tex]
a) We can calculate this as L(13), as d = 13:
[tex]\begin{gathered} L(13)=202-8(13) \\ L(13)=202-104 \\ L(13)=98 \end{gathered}[/tex]
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:
[tex]\begin{gathered} L(d)=130 \\ 202-8d=130 \\ 202-130=8d \\ 72=8d \\ d=\frac{72}{8} \\ d=9 \end{gathered}[/tex]
Answer:
a) 98 miles.
b) 9 days.
