Math 180 Rates and Ratios B2

When Mia volunteers to pick up trash on the side of the highway, she can collect 5 bags of trash in 2 hours. Mia works at a constant rate. How many bags of trash can Mia collect in 12 hours?

• 20 bags

• 10 bags

• 15 bags

• 30 bags

A compost facility can process 60 pounds of trash in 15 minutes. The facility processes compost at a constant rate. Complete the table.

• 4 pounds in 1 hour, 12 pounds in 3 hours.

• 10 pounds in 1 hour, 20 pounds in 3 hours.

• 60 pounds in 1 hour, 180 pounds in 3 hours.

• 16 pounds in 1 hour, 48 pounds in 3 hours.

It costs $900 to run a water treatment facility machine for 4 hours. Jake spent $9000 to run the machine. For how many hours did Jake run the machine?

Mathematical Equivalence

ON

Ana bills $1350 for 6 hours of work as an environmental lawyer. What is Ana's hourly rate?

• $175 per hour

• $200 per hour

• $225 per hour

• $1344 per hour

Dan can purchase 5 energy-saving lightbulbs for $58. Which of the following deals has a lower unit price?

• 2 lightbulbs for $28

• 4 lightbulbs for $44

• 6 lightbulbs for $66

• 8 lightbulbs for $100

Jin can purchase 10 gallons of biodegradable fuel for $42.99 at the local gas station. Which of the following deals costs less per gallon?

• 8 gallons of fuel for $38.50

• 15 gallons of fuel for $60.50

• 20 gallons of fuel for $91.75

• 30 gallons of fuel for $131.40

Linda’s car emits 3200 grams of carbon dioxide for every 10 miles she drives. The table shows the amount of carbon dioxide Linda’s car emits. Complete the table.

• 320, 960

• 400, 1000

• 300, 900

• 350, 950

Select all that apply. Lamar’s hybrid car gets 50 miles per gallon. Which ratios are based on this rate?

• 50 miles : 1 gallon

• 150 miles : 6 gallons

• 100 miles : 2 gallons

• 500 miles : 10 gallons

A gardener planted 140 tulips and 70 roses. What is the ratio of tulips to roses?

• 3:1

• 1:3

• 1:2

• 2:1

Select all that apply. A researcher surveyed a forest and found that the ratio of pine trees to maple trees is 3:5. Which are possible numbers of pine trees and maple trees in the forest?​ ​ ​​ (a)   ​ (b)  

• 600 pine trees and 1000 maple trees
• 900 pine trees and 1500 maple trees
• 103 pine trees and 105 maple trees
• 30 pine trees and 55 maple trees