Connor runs at a constant rate. It takes him 34 mnutes to run 4 ,iles. Write a linea equation in two varibles taht represent the number of miles Connor can run in any givem time interval in inutes.

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Answer:

The equation

[tex]m=\frac{4}{34} t[/tex]

represents the number of miles [tex]m[/tex] ran by Connor in time interval [tex]t[/tex] minutes.

Step-by-step explanation:

Given:

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

∴ Speed at which Connor runs = [tex]\frac{Distance}{time}=\frac{4}{34}\textrm{ miles per minute}[/tex]

Let the distance run by Cannor = [tex]m[/tex] miles

Let time interval be = [tex]t[/tex] minutes

∴ Distance [tex]m=Speed\times time\ interval=\frac{4}{34}\times t[/tex]

So,

[tex]m=\frac{4}{34} t[/tex]