A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?

The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

(a) Carl earns $45 per 3 hours as given. To find the amount he earns per hour, we simply divide:

$45/3 hours = $15/hour

(b) To see how much Louis makes per hour, simply plug in 1 for the hours value x:

y = 12(1 hours)

y = $12/hour

Thus Carl makes more than Louis.

(c) The equation of Carl's dollars per hour is similar to Louis':

y = 15x 

where x is the number of hours he works and y is the number of dollars he earns. Plug in whole number values of hours for x and plot the points (x, y) on a graph.