# A city is paving a bike path. The same length of path is paved each day.

#### Ediebuglolgtg

##### New member

[h=1] A city is paving a bike path. The same length of path is paved each day. 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. Write an equation that gives the distance(in miles) remaining to be paved as a function of the number of days since the project began. :?:[/h]

#### Subhotosh Khan

##### Super Moderator
Staff member

A city is paving a bike path. The same length of path is paved each day. 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. Write an equation that gives the distance(in miles) remaining to be paved as a function of the number of days since the project began. :?:
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#### stapel

##### Super Moderator
Staff member
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.
So how many miles did they pave during those six days? (Hint: Subtract.)

So how many miles did they pave each day? (Hint: Divide.)

Since this is your rate of change, what is your slope?

Write an equation that gives the distance(in miles) remaining to be paved as a function of the number of days since the project began.
You are given that, on day t = 4, you have d = 8 miles left. With this data point and the slope you derived above, what is the equation of the straight-line model? 