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Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 53 km/h. After six hours, the velocity of the car is 62 km/h. Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. **Show your work and define the variables used.**

Guest Dec 6, 2017

edited by
Guest
Dec 6, 2017

#1**+1 **

Let t be the number of hours, and let v be the car's velocity in kilometers per hour.

When t = 3 , v = 53 .

When t = 6 , v = 62 .

So between the hours of 3 and 6 , the car's velocity changes at a rate of

\(\frac{ 62-53}{6-3}\,=\,\frac93\,=\,3\) kilometers per hour per hour

And...if the velocity of the car changes at a constant rate....

3 = the rate of change between any two possible values of v and t .

3 = \(\frac{62-v}{6-t}\)

18 - 3t = 62 - v

-44 - 3t = -v

v = 3t + 44

hectictar Dec 6, 2017

#1**+1 **

Best Answer

Let t be the number of hours, and let v be the car's velocity in kilometers per hour.

When t = 3 , v = 53 .

When t = 6 , v = 62 .

So between the hours of 3 and 6 , the car's velocity changes at a rate of

\(\frac{ 62-53}{6-3}\,=\,\frac93\,=\,3\) kilometers per hour per hour

And...if the velocity of the car changes at a constant rate....

3 = the rate of change between any two possible values of v and t .

3 = \(\frac{62-v}{6-t}\)

18 - 3t = 62 - v

-44 - 3t = -v

v = 3t + 44

hectictar Dec 6, 2017