Question

You brake your car from a speed of 55 mph. The table shows data that represent your car's speed versus the amount of time elapsed from the moment that you began to brake. Elapsed Time (sec) Speed (mph) 1 45 2 35 3 25 4 15 5 15 6 15 Evaluate the following graph based on the data in the table. What is the slope of the line segment that represents the period of time during which the speed decreases? a. The slope of the decrease is 0. c. The slope of the decrease is 10. b. The slope of the decrease is -10. d. The slope of the decrease is -11.

Answer 1

its A  i just took the test

Answer 2

Answer:

Starting speed of the car = 55 km/hr

Let us suppose when t=0 , the speed of car was 55 km/hr.

then car broke down.

The following Data are given regarding car's speed versus the amount of time elapsed from the moment that it began to brake.

Elapsed Time (sec) Speed (mph)→ 1 :45 ,2 :35, 3 :25, 4 :15, 5 :15 ,6 :15

Slope of line passing through two points (a,b) and (p,q) is given by

     =  $\frac{q-b}{p-a}$

Slope of line passing through two points (1,45) and (2,35) is given by

    = $\frac{35-45}{2-1}=\frac{-10}{1}= -10$

Option (C) is Correct which is: The slope of the decrease is -10.