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# help with equation stuff plz?

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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
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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
+7340
+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
#2
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you're a lifesaver, thank you so much, thumbs up to you :^)

Guest Dec 6, 2017