The number of hours, x, ryan rides his bike and the total number of miles y, he rides is a linear relationship. ryan has already ridden 5 miles, and he can ride at a constant rate of 12 miles per hour. write an equation relating x hours and y miles. then predict how many minutes will pass for ryan to have traveled a total of 60 miles.

300 minues

Step-by-step explanation: First you set up the equations 5y=60y, then you divide 60y with 5y and get y=12 miles.                12x=60x ,then you divide 60x with 12x and get x=5 hours which is x=300 minutes.

- "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."