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).

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above