floofyspider
contestada

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

Respuesta :

heartless87
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

The distance traveled in the bus in 6 hours is 504kilometers.

What is distance?

Distance is the "point or things that is long away from another with respect to time".

According to the question,

Distance   (d) :     42       252      378      

Time          (t):      0.5        3          4.5

Formula for velocity = [tex]\frac{distance covered }{time taken}[/tex]

consider the bus travels at constant speed the slope of the graph calculated by taking any two points (0.5,42) and (4.5,378) where 'x-axis' represents time taken by bus and 'y-axis' represents distance traveled by bus in the graph.

when the bus moves from first point to second point 'time' increases by 4 hours and 'distance' increases by 336 km/hr.

To find slope

slope =  [tex]\frac{distance covered}{time taken }[/tex] = [tex]\frac{336}{4}[/tex] = 84 km/hr. when time 't' is elapsed.

In 6 hours the bus would travel (84km/hr. × 6hr. = 504 km).

Hence, The distance traveled in the bus in 6 hours is 504kilometers.

Learn more about Distance here

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