Question

Connor runs at a constant rate. It takes him 34 minutes to run 4 miles.

Answer 1

Given:

Connor runs at a constant rate.

It takes him 34 minutes to run 4 miles.

To find:

The linear equation in two variables that represents the given situation.

Solution:

Let y be the distance covered by Connor in miles and x be the time in minutes.

It is given that Connor needs 34 minutes to run 4 miles. So, the linear equation passes through the point (34,4,) and the rate of change is:

$m=\dfrac{Distance}{Time}$

$m=\dfrac{4}{34}$

Using the point slope, the equation of the linear function is:

$y-y_1=m(x-x_1)$

$y-4=\dfrac{4}{34}(x-34)$

$y-4=\dfrac{4}{34}x-4$

$y=\dfrac{4}{34}x$

Therefore, the correct option is D, i.e., $y=\dfrac{4}{34}x$.