Bill rode his bike 75 miles for a fundraiser. this took him 2 and a half hours. what is his rate of speed per hour?

Factor Completely: 48x - 72

75 miles = 37.5 miles

2 hours 1 hour

48x - 72

24 (2x) - 24 (3)

24 (2x - 3)

If Bill rode his Bike for 2 and a half hours

we can see that he rode 30 miles per hour

1h ... 30 miles

1 h ... 30 miles

1/2 h ... 15 miles

total 75 miles

to factor 48x-72, you need to divide both numbers by 24

48x-72 = 24 (2x-3)