Crew b earns $315 after 3 hours, $525 after 5 hours, and $735 after 7 hours of work. Explain whether or not Crew b's data show a proportional relationship. If the data are proportional, identify the constant of proportionality.

Crew B's data shows a proportional relationship.

Step-by-step explanation:

This is because the constant of proportionality in each example given ($315 and 3 hours, $525 and 5 hours, $735 and 7 hours), is the same number with all of the values, which is 105. You can find this by dividing the dependant variable by the independent variable (In this case the money earned is dependant and the number of hours worked is independent).

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96