Question

in 9–11, compare the rates to find which is greater.

1. 510 visitors in 30 hours or 980 visitors in 60 hours
2. 660 miles on 20 gallons or 850 miles on 25 gallons
3. 1,080 labels on 90 sheets or 2,250 labels on 150 sheets

Explanation:

Problem 9: Compare 510 visitors in 30 hours or 980 visitors in 60 hours

Step1: Calculate rate for 510 visitors in 30 hours

Rate = $\frac{510}{30}$ = 17 visitors per hour

Step2: Calculate rate for 980 visitors in 60 hours

Rate = $\frac{980}{60}$ ≈ 16.33 visitors per hour

Step3: Compare the two rates

17 > 16.33, so 510 visitors in 30 hours has a greater rate.

Step1: Calculate rate for 660 miles on 20 gallons

Rate = $\frac{660}{20}$ = 33 miles per gallon

Step2: Calculate rate for 850 miles on 25 gallons

Rate = $\frac{850}{25}$ = 34 miles per gallon

Step3: Compare the two rates

33 < 34, so 850 miles on 25 gallons has a greater rate.

Step1: Calculate rate for 1,080 labels on 90 sheets

Rate = $\frac{1080}{90}$ = 12 labels per sheet

Step2: Calculate rate for 2,250 labels on 150 sheets

Rate = $\frac{2250}{150}$ = 15 labels per sheet

Step3: Compare the two rates

12 < 15, so 2,250 labels on 150 sheets has a greater rate.

Answer:

510 visitors in 30 hours has a greater rate.

Problem 10: Compare 660 miles on 20 gallons or 850 miles on 25 gallons