Rate of Change Math

Which of the following is a unit rate

• 56 miles in 2 minutes

• $4.59 for 3 pounds

• $10 per student

• $30 for 15 minutes

Charlotte uses 6 grams of Japanese green tea leaves to make 24 fluid ounces of green tea. Last week she made 288 fluid ounces of green tea. How many grams of green tea leaves did Charlotte use to make green tea last week?

• 0.5 g

• 1,152 g

• 72 g

• 2 g

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour?

• 13 1/2 mi

• 6 3/4 mi

• 3 3/8 mi

• 24 1/2 mi

Yoshi's father gave him 200 Pokemon cards. Each week, Yoshi purchases 25 Pokemon cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Yoshi will have more than 750 Pokemon cards in his collection?

• 200w + 25 < 750

• 25w + 200 < 750

• 200w + 25 > 750

• 25w + 200 > 750

A ratio that compares the change in a quantity to the original amount.

• percent change

• percentage

• percent error

• complex fraction

the constant ratio in a proportional linear relationship

• percent error

• least common multiple

• constant of proportionality

• greatest common factor

Mr. Stein is purchasing 2.25 pounds of meat that costs $2.80 per pound. How much change should Mr. Stein receive if he gives the cashier $20.00?

• $6.30

• $13.70

• $14.95

• $2.52

A store sells a 5-pound bag of apples for $4.60. Which of the following is NOT an equivalent price per pound of apples?

• A 20-pound bag for $18.40

• A 12-pound bag for $11.04

• A 7-pound bag for $6.44

• A 15-pound bag for $9.20

A package of 5 erasers costs $0.39. At this rate, how much would 60 erasers cost, in dollars and cents?

• $4.68

• $23.40

• $12

• $5.39

The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwasher use to wash 10 loads of dishes?

• 8

• 1.25

• 80

• 28