Question

Will give a medal!!
Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours, the velocity of the car is 54 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 seven hours? (5 points)

I need help with part A

Answer 1

In this question, I suppose they are assuming the
acceleration (or, the increase in velocity) is constant.

So you are given two points:
(0,50) and (6,54)

(The first point is the initial veloicty, and the second
point is the veloicty after 6 hours. Where,
y is the total velocity after x number of hours.)

Answer 2

You just need to find the slope of the line using these two points that you have, and then graph the equation from x=0 to x=7, which you give you part B.

Answer 3

You can call the hours "t", instead of x, because t is usually the way to denote "time", but that doesn't make a difference as long as you are clear about what you are doing.

Good Luck :)

Answer 4

But after 2 hours the velocity is 50 so would it be (2,50) instead of (0,50)?

Answer 5

Yes, right, it says "after the two hours" my bad.

Answer 6

So your two points are:
(2,50) and (6,54)

good that you noticed.

Answer 7

Okay thank you so much