Question

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

Write the linear equation in two variables that represents the number of miles Connor can run in any given
time interval in minutes, t.
O A Y = 34/4 x
O
B. Y = 8.5X
O C. Y = 4/34X + 8.5
D. Y = 4/34 X
=

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=(Distance)/(Time)`

`m=(4)/(34)`

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

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

`y-4=(4)/(34)(x-34)`

`y-4=(4)/(34)x-4`

`y=(4)/(34)x`

Therefore, the correct option is D, i.e.,
`y=(4)/(34)x`.