Distance (d) 42 252 378 time (t) 0.5 3 4.5
Use complete sentences to describe the relationship represented in the table.
Write an equation using variables that represents the relationship shown in the table.
Use your equation to find how far the bus travels in 6 hours.

h e l p

315 km
Step-by-step explanation:
If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.
Let's use the points (0.5, 42) and (4.5, 378):
as we move from the first point to the second, t increases by 4 and y increases by 336. Thus, the slope of this graph is
m = rise / run = 336 km / 4 hr = 84 km/hr
then distance traveled = speed times time, or
distance traveled = (84 km/hr)t, where t is the elapsed time.
In 6 hours the bus would travel
( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi

Linear
Non linear
Non linear
Linear

If the equation shows a straight line then it’s a linear equation if the equation doesn’t shows a straight line then it’s non linear