Collision Road Rage Pre-Activity With Answers (Page 2 of 3) in pdf

Collision Road Rage Pre-Activity With Answers Page 2

Answer Key – Collision

Road Rage Pre-Activity

Car A begins at position 0 and drives to the right. Car B begins at position 100 and drives to the left.

Answer the following questions to find where and when the cars will collide.

1. Assume that car A travels 5 units per second and begins at position 0. Where will the car be

after 10 seconds?

5 × 10 = 50, or at position 50

2. a) Write an equation in slope-intercept form that can be used to calculate the position of car A

after x seconds.

y = 5x

b) Explain the meanings of x, y, slope, and y -intercept in terms of the problem situation.

x is time in seconds.

y is the position of the car.

The slope represents the velocity (or speed) in units/sec,

which is 5 units/sec for car A.

The y-intercept is the position at time 0, which is 0 units for car A.

3. Assume that car B travels 4 units per second and begins at position 100. Where will the car be

after 10 seconds?

100 – 4 × 10 = 60, or at position 60

4. a) Write an equation in slope-intercept form that can be used to calculate the position of car B

after x seconds.

y = 100 – 4x

y = –4x + 100

Note: For many students, it is more natural to write the y-intercept first because of

how they verbally describe the problem.

Collision Road Rage Pre-Activity With Answers Page 2