A city is paving a bike path. The same length of path is paved everyday. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path remaining to be paved.

a. Explain how you know the situation can be modeled by a linear equation.

b. Write an equation that gives the distance (in miles) as a function of the number of days since the project began.

c. In how many more days will the entire path be paved?