Answer:
car = 1.1 mi/min
bus = 1.05 mi/min
car travels faster
Step-by-step explanation:
recall that speed is given by the gradient (i.e slope) of a distance vs time graph or equation.
for the car:
equation is y = 1.1x
recall that for an equation in the form y = mx + b, slope = m
if we compare the given equation to the general equation, it is clear that
speed of car = slope = m = 1.1 miles/min (answer)
for the bus,
we are given 2 points (2,2.1) and (4,4.2)
if we apply the formula for slope (see attached for reference)
slope, m
= (4.2 - 2.1) / (4 - 2)
= 2.1 / 2
= 1.05 mi/min= speed of bus (answer)
comparing the 2 speeds, we can see that the car has the higher speed (travels faster).
