Seth's unit rate per hour around the track is 7.5 miles per hour.
Step-by-step explanation:
Step 1:
First, we convert the given fractions into decimals.
[tex]\frac{1}{4}[/tex] of a mile = 0.25 of a mile = 0.25 miles.
Seth takes [tex]\frac{1}{30}[/tex] of an hour to run a lap.
To determine how many minutes it took Seth, we multiply the given fraction with the number of minutes in an hour i.e. 60 minutes.
[tex]\frac{1}{30}[/tex] of an hour [tex]= \frac{1}{30} (60) = 2[/tex] minutes.
So it takes Seth 2 minutes to run a lap.
Step 2:
To determine Seth's unit rate per hour, we need to determine the distance that Seth runs in an hour at the same rate.
If he covers 0.25 miles in 2 minutes then we multiply that value by 30 to get the distance covered in an hour.
If 0.25 miles is covered in 2 minutes, then the distance covered in 1 hour[tex]= 0.25(30) = 7.5[/tex] miles.
So Seth's unit rate per hour around the track is 7.5 miles per hour.
