At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more riders each hour and how many more? Use the drop-down menus to answer the problem. The Choose... will have Choose... more riders each hour.

The spinning swings will have 10 more riders each hour.

Step-by-step explanation:

1. If 25 riders ride the race car every 30 mins, that would mean each hour 50 riders ride the race car.

2. If 20 riders ride the spinning swings every 20 mins, that would mean each hour 60 riders ride the spinning swings.

Lets say 4 hours have passed. We could say 25 × 8. I don't know if this would make sense but there would be 8 30 mins in 4 hours. If you multiply 25 × 8 you would get 200 riders riding the race cars in 4 hours.

Lets do the same thing with the spinning swings. There are 12 20 mins in 4 hours. So we could do could do 20 × 12. That would equal 240 riders riding the spinning swings in 4 hours.

So if the race cars got 200 riders in 4 hours, each hours they will have 50 riders. And If the spinning swings got 240 riders in 4 hours, each hour they got 60 riders. So that would mean the spinning swings got more riders each hour. They also got 10 more riders each hour. Hopefully I didn't confused you.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3