Reasoning with Ratios and Rates

Kent mixed oil and gas for his lawn mower. He mixed 8 fluid ounces of oil for every 1 gallon of gas. Which of the following statement must be true? Select each true statement.

• For every 2 gallons of gas, he used 16 fluid ounces of oil.

• For every 3 gallons of gas, he used 3/4 fluid ounces of oil.

• For every 5 gallons of gas, he used 40 fluid ounces of oil.

• For every fluid ounce of oil, he used 1/8 gallon of gas.

Base on the information, the relationship between x and y is....

• The value of y is 3 times of the value of x

• The value of y is 1/3 times of the value of x

• The value of x is 3 times of the value of y

• The value of x is 1/3 of the value of y

Helen drives at a constant rate. She traveled 162 miles in 3 hours. How far did Helen travel in one hour?

• 50 miles

• 52 miles

• 54 miles

• 56 miles

Amy can ride her bike 4 miles in 30 minutes. Sebastian can ride his bike 3 miles in 24 minutes. At her current rate, What is the distance, in miles, Amy can ride her bike in 12 minutes?

• 9.0

• 3.0

• 2.5

• 1.6

Amy can ride her bike 4 miles in 30 minutes. Sebastian can ride his bike 3 miles in 24 minutes. At his current rate. What is the distance, in miles, Sebastian can ride his bike in 1 hour?

• 0.125

• 3.0

• 7.5

• 8

Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie save by using the coupon?

• $ 7.00

• $ 6.75

• $ 6.50

• $ 6.25

The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?

• 0.8 km

• 1.2 km

• 1.6 km

• 2 km

Jill bought a pound of strawberries for $4.00. What is the price, in dollars, per ounce of strawberries ?

one pound =16 ounces

• $0.25

• $0.50

• $0.75

• $1.00

Mike read 18 pages in 36 minutes and Mei read 21 pages in 30 minutes. Determine which person had the faster unit rate.

• They both had the same unit rate.

• Mike read 0.2 page faster than Mei in one minute

• Mei read 0.2 page faster than Mike in one minute.

• None of the above

Raquel uses 10 oranges to make 1 cup of orange juice. How many oranges would she use to make a gallon of juice? ( 1 gallon=4 quarters, 1 quarter=4 cups)

• 160 oranges

• 100 oranges

• 80 oranges

• 40 oranges