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

Collision Road Rage Pre-Activity With Answers Page 3

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 in units/sec, which is 4 units/sec for car B.

The negative value reflects the fact that the position decreases as the car moves left.

The y-intercept is the position at time 0, which is 100 units for car B.

. Calculate when and where the cars will crash into each other using the equations you found.

Solve the system of linear equations:

y = 5x

y = 100 – 4x

Substitute 5x f

or y in the sec

ond equation:

5x = –4x + 100

Solve for x:

9x = 100

x ≈ 11

Substitute the value of x in

to either

of the original equations:

y = 5x ≈ 5(11) = 55

y = 100 – 4x ≈

100

– 4(11) = 56

The cars will crash into ea

ch other approximately 11 secon

ds after they start driving

between positions 55 and 56.

Note: The difference in the positions is caused by rounding error. The exact time

and location of the crash is

seconds at position

Collision Road Rage Pre-Activity With Answers Page 3