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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
=

Sagot :

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:

[tex]m=\dfrac{Distance}{Time}[/tex]

[tex]m=\dfrac{4}{34}[/tex]

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

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-4=\dfrac{4}{34}(x-34)[/tex]

[tex]y-4=\dfrac{4}{34}x-4[/tex]

[tex]y=\dfrac{4}{34}x[/tex]

Therefore, the correct option is D, i.e., [tex]y=\dfrac{4}{34}x[/tex].

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