The distance y (in miles) that a car travels on a highway in x minutes is represented by the equation y=1.1x. The graph shows the distance that a bus travels. Find the speed of each vehicle. Which vehicle is traveling faster?

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).

50-60=10

step-by-step explanation: