Question

directions: express each rate as a unit rate. round to the nearest tenth when necessary. 1. 5.4 miles in 45 minutes 2. 45 touchdowns in 16 games 3. 12 songs in 42 minutes 4. 405 miles in 8 hours 5. 168 stickers for 24 students 6. 18 mb downloaded in 15 seconds 7. 50 yards of fabric for 18 flags 8. 468 raffle tickets for 52 people 9. 40 feet in 25 seconds

Explanation:

Step1: Recall unit - rate formula

A unit rate is a rate with a denominator of 1. To find the unit rate, divide the numerator by the denominator.

Step2: Solve for 1. 5.4 miles in 45 minutes

$\frac{5.4}{45}=0.12$ miles per minute. Rounding to the nearest tenth, the unit rate is 0.1 miles per minute.

Step3: Solve for 2. 45 touchdowns in 16 games

$\frac{45}{16}=2.8125$ touchdowns per game. Rounding to the nearest tenth, the unit rate is 2.8 touchdowns per game.

Step4: Solve for 3. 12 songs in 42 minutes

$\frac{12}{42}\approx0.3$ songs per minute.

Step5: Solve for 4. 405 miles in 8 hours

$\frac{405}{8}=50.625$ miles per hour. Rounding to the nearest tenth, the unit rate is 50.6 miles per hour.

Step6: Solve for 5. 168 stickers for 24 students

$\frac{168}{24}=7$ stickers per student.

Step7: Solve for 6. 18 MB downloaded in 15 seconds

$\frac{18}{15}=1.2$ MB per second.

Step8: Solve for 7. 50 yards of fabric for 18 flags

$\frac{50}{18}\approx2.8$ yards of fabric per flag.

Step9: Solve for 8. 468 raffle tickets for 52 people

$\frac{468}{52}=9$ raffle tickets per person.

Step10: Solve for 9. 40 feet in 25 seconds

$\frac{40}{25}=1.6$ feet per second.

Answer:

1. 0.1 miles per minute
2. 2.8 touchdowns per game
3. 0.3 songs per minute
4. 50.6 miles per hour
5. 7 stickers per student
6. 1.2 MB per second
7. 2.8 yards of fabric per flag
8. 9 raffle tickets per person
9. 1.6 feet per second