Question

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.

Answer 1

The equation

`m=(4)/(34) t`

represents the number of miles
`m` ran by Connor in time interval
`t` minutes.

Explanation:

Given:

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

∴ Speed at which Connor runs =
`(Distance)/(time)=(4)/(34)\textrm{ miles per minute}`

Let the distance run by Cannor =
`m` miles

Let time interval be =
`t` minutes

∴ Distance
`m=Speed* time\ interval=(4)/(34)* t`

So,

`m=(4)/(34) t`