a) The distance traveled after 5 hours is 300 miles.
b) The speed of the car is 60 mile/hour.
c) y = 60x.
How to determine speed of car from distance - time graph.
a) From the graph
At 5hr
When traced against the vertical axis gives 300 miles.
so, the distance traveled after 5 hours is 300 miles.
b) Slope of line gives how fast Cho is driving.
Slope = Rise/Run
Let's consider points (0,0) and (5,300)
Slope = 300 - 0/5 - 0
= 300/5
= 60 mile/hour
The speed of the car is 60 mile/hour. Meaning Cho covers 60 miles in one hour.
Equation of line is given by
y = mx + b
where
y represents distance traveled at a given time
x represents time taken
m is the slope
b is the y-intercept, the distance traveled at time x= 0
y = 60x.
b = 0, since the graph starts from origin (0,0).