Question

Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mile marker ,she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?

Answer 1

hence, she is riding
`(2)/(15)` miles per minute

Explanation:

The computation of the rate at which she is riding is shown below:

Given that

Rita covered 1 mile in 15 minutes.

And, her covered 3 miles in 30 minutes.

Now

Let us assume the number of miles covered would be in x minutes

So for one miles the point would be (15,1)

And for three miles, the point is (30,3)

Now the slope of the line is

m equal to

`(y_2 - y_1)/(x_2 - x_1) \\\\(3 - 1)/(30 - 15) \\\\(2)/(15)`

hence, she is riding
`(2)/(15)` miles per minute