Abus travels at a constant speed. the following table shows the distance the bus travels (in kilometers) over a period of time (in hours).

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.

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

-6 is the correct option from the above given options