Question

The equation y 55x represents the

relationship between x, the time that a train
travels in hours, and y, the distance the train
travels in miles for Train A. The table
represents the relationship for Train B.
Determine which train is traveling at a faster
rate of speed.
1
2
4
Time (h)
Distance (mi)
45
90
135
180

Answer 1

Train A is travelling faster.

Explanation:

Train A is going 55mph, and train B is going 45mph according to the table.

Answer 2

The Train traveling faster is A.

Equation for Train A ;

• y = 55x

Creating a similar expression for train B Using the data in the table ;

y = kx ; k = constant of proportionality (speed)

Using the pair of points: (2, 90)

90 = 2k

k = 90/2

k = 45

The equation becomes ;

• y = 45x

Comparing the proportionality Constant (Constant speed) values, Train A is traveling Faster.