Question

Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 54 km/h. After four hours, the velocity of the car is 58 km/h.

Part A: 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. (5 points)

Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)

Answer 1

I don't understand how this picture relates to the problem... hmm

Answer 2

But anyway,
let's think of this data as ordered pairs! :)

We're told that after 2 hours, we have a velocity of 54: (2,54)
And after 4 hours, the velocity is 58: (4,58)

So we would like to create a linear function (I'm assuming) to model the velocity at any time.
y=mx+b

Our slope formula gives us the slope of this line:\[\large\rm m=\frac{y_2-y_1}{x_2-x_1}\]Remember how to use that? :)

Answer 3

Could someone help me with this problem. My computer froze up and I could not respond to zepdrix