8.) You run 18 laps in 9 minutes. Your friend runs 34 laps in 17 minutes. Are the rates equivalent? (prove it)

To find out if the rates are equivalent, we need to calculate the lap per minute rate for both you and your friend. You run 18 laps in 9 minutes, which gives you a rate of 18 laps ÷ 9 minutes = 2 laps per minute. Your friend runs 34 laps in 17 minutes, resulting in a rate of 34 laps ÷ 17 minutes = 2 laps per minute as well. Since both rates are equal at 2 laps per minute, yes, the rates are equivalent! If you get a bit creative, you can visualize this by thinking of a race between the two of you. Despite the difference in laps completed, both of you are galloping at the same steady pace – it's like you're synchronized runners on a big track! So, whether you take more laps or pace it out, you've both found your rhythm!