KPrep Review3-Proportional Relationships & Circles

Water flows from a faucet at a constant rate. Kian measures 8 cups of water in 6 seconds.

What is the constant of proportionality for the relationship of cups of waters to minutes?

• 8/6

• 4/3

• 80

• 8

Oakley works at a factory that packs products in two different size boxes. Each small box holds 2.5 ft³ of products. Each large box holds 7.5 ft³ of products.

Oakley has 90 ft³ of products to pack. He begins by packing 6 small boxes.

How many large boxes will he need?

• 10

• 12

• 75

• 11

At baseball practice, the team spends 3/4 hour on hitting, 1/2 hour on catching, and 1/4 hour on base running.

At this rate, how many hours will the team spend on base running when they practice a total of 9 hours?

• 1 1/2 hours

• 6 3/4 hours

• 4 1/2 hours

• 2 1/4 hours

Shawn uses the same amount of mouthwash each day. The table shows the proportional relationship between the amount of mouthwash he uses and time in days.

What is the constant of proportionality for the relationship of teaspoons of mouthwash to time in weeks?

• 5

• 7

• 35

• 42

Devon knits at a constant rate. In 1 1/4 hr, Devon adds 10 in. to a scarf.

Select the true statements.

• Devon adds 1/3 ft. to the scarf in 3/4 hr.

• Devon adds 8 in to the scarf in 60 min.

• One way to find the number of inches added to the scarf in 15 min. is to divide 10 by 5.

• One way to find the number of inches added to the scarf in 3 1/2 hr. is to multiply 7/2 by 10.

Shama types at a constant rate. She types 12 letters in 4 seconds.

What is the constant of proportionality for the relationship of letters to minutes?

• 3

• 48

• 180

• 2880

Alessia has $20 to spend at a vegetable stand. The tomatoes cost $3 per pound and the cucumbers cost $2 per pound. Alessia puts 4 1/2 lb. of tomatoes in her basket. How many pounds of cucumbers can she buy?

• 13.5

• 6.5

• 3.25

• 5.50

Martin mixes 1 1/4 cups of liquid soap and 3 3/4 cups of water to make a cleaning solution. At this rate, how many cups of liquid soap should Martin use to make 7 1/2 cups of the cleaning solution?

• 1 7/8 cups

• 2 1/2 cups

• 3 cups

• 4 cups

A measuring tool captures rain falling at a constant rate. The table shows the relationship between the height of the rainwater in the measuring tool and the number of minutes it rains. What is the constant of proportionality for the relationship of millimeters of rainwater to time in HOURS?

• 75

• 1.25

• 0.8

• 48

A hose adds water to a pond at a constant rate. During a 45-minute period, the water level in the pond increases by 1/2 ft. Which statements are true?

• In 60 min., the level in the pool increases 8 in.

• in 1 1/4 hr., the level in the pond increases 1 ft.

• One way to find how many feet the level increases in 30 min. is to multiply 1/2 by 2/3.

• One way to find how many inches the level increases in 2 1/2 hr. is to multiply 5/2 by 9.