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.

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?

3 answers

The assumption we have to make is that the velocity is a linear function of the time ....

So we have two ordered pairs (3,53) and (6,62)
slope = (62-53)/(6-3)
= 3
using the point (3,53)
v-53 = 3(t-3)
v-53 = 3t - 9
3t - v = - 44 or y = 3t + 44

should be easy to plot for 3 < t < 7

thnx

can you help me with one more?