Question

write each rate as a unit rate. examples 1 and 2

1. 72 ounces in 6 steaks =
2. 162 water bottles in 9 cases =

3 marcella divided 40.8 gallons of paint among 8 containers. how much paint is in each container? example 1

1. central subs made 27 sandwiches using 12 pounds of turkey. how much turkey was used per sandwich? example 2
2. the results of a car race are shown. determine who drove the fastest. explain. example 3

drivers’ times
driver | laps | time (min)
cutwright | 35 | 84
evans | 42 | 96.6
loza | 38 | 102.6

1. theo’s mom bought an eight - pack of juice boxes at the store for $4. find the unit rate for the juice boxes. example 4
2. joshua’s cousin pledged $12 for a charity walk. if joshua walked 3 miles, how much did his cousin pay per mile? example 4
3. justify conclusions the lovin’ lemon company sells a 4 - gallon jug of lemonade for $24. the sweet and sour company sells an eight - pack of 1 - quart bottles of lemonade for $16.00. which company has a higher unit price? explain your answer.

9 the shanghai maglev train is one of the fastest trains in the world, traveling about 2,144 miles in 8 hours.
a. how many miles does it travel in one hour?
b. the distance between columbus, ohio, and new york city is about 560 miles. how many hours would it take the train to travel between the cities?

Explanation:

Let's solve question 5: Determine who drove the fastest.

To determine who drove the fastest, we need to find the unit rate (laps per minute) for each driver. The driver with the highest laps per minute is the fastest.

Step 1: Calculate for Cutwright

Cutwright: 35 laps in 84 minutes.
Unit rate = $\frac{35}{84}$ laps per minute.
Simplify: $\frac{35}{84} = \frac{5}{12} \approx 0.4167$ laps per minute.

Step 2: Calculate for Evans

Evans: 42 laps in 96.6 minutes.
Unit rate = $\frac{42}{96.6}$ laps per minute.
Simplify: $\frac{42}{96.6} \approx 0.4348$ laps per minute.

Step 3: Calculate for Loza

Loza: 38 laps in 102.6 minutes.
Unit rate = $\frac{38}{102.6}$ laps per minute.
Simplify: $\frac{38}{102.6} \approx 0.3704$ laps per minute.

Step 4: Compare the unit rates

• Cutwright: $\approx 0.4167$ laps/min
• Evans: $\approx 0.4348$ laps/min
• Loza: $\approx 0.3704$ laps/min

Evans has the highest unit rate (laps per minute), so Evans drove the fastest.

Answer:

Evans drove the fastest because his unit rate (laps per minute) is the highest among the three drivers.