Unit Rates and Rates Ms. Towne

A bakery sells boxes of muffins with 6 muffins in each box. Which table shows the relationship between boxes and muffins?

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A ratio of mass to volume for a type of metal is 27 grams to 10 cubic centimeters. A sample of metal has a mass of 81 grams. What is the volume, in cubic centimeters, of the sample of metal?

(27 : 10)

(82: ____)

• 118

• 810

• 64

• 30

The scale on a map shows that 1 inch represents 18 miles. The distance on the map between Olivia's town and her grandmother's town is 4.5 inches. What is the actual distance between the two towns?

(1:18)

(4.5 : _____)

• 22.5

• 72.5

• 4

• 81

Leigh wants to find the number of ounces of pretzels in a 4-pound container. She knows the ratio of ounces to pounds is 16:1. Which of the following equations can Leigh use to find x, the number of ounces of pretzels in the 4-pound container?

• $\frac{x\ ounces}{4\ pounds}=\frac{16\ ounces}{1\ pound}$

• $\frac{x\ ounces}{4\ pounds}=\frac{1\ pound}{16\ ounces}$

• $\frac{4\ ounces}{x\ ounces}=\frac{16\ pounds\ }{1\ pound}$

• $\frac{4\ pounds\ }{x\ ounces}=\frac{16\ pounds}{1\ ounce}$

An engine uses 24 gallons of fuel in 6 hours. If the engine burns the fuel at a constant rate, how many gallons of fuel will the engine burn in 8 hours?
 $\frac{24\ gallons}{6\ hours}=\frac{x\ gallons}{8\ hours}$  

• 64 

• 48

• 32

• 30

The gazelle can run up to 40 miles per hour. If 1 mile is approximately 1.6 kilometers, approximately how many kilometers per hour is this?

• 16 km/hr

• 64 km/hr

• 25 km/hr

• 100 km/hr

Jehan and her mom sell beads at craft shows. How many beads are in 29 bags?

• 2900

• 129

• 1100

• 2600

What additional information is needed to solve the problem below?

Jackie starts riding her bike at 4:30 p.m. She rides her bike for 3 miles and stops. What is her rate in miles per hour?

• the circumference of Jackie's tires

• the time Jackie stopped riding her bike

• the number of feet in one mile

• the number of miles Jackie rode yesterday

The table shows the number of pages Peter read in different numbers of minutes. Based on the table, how long will it take Peter to read 42 pages?

(hint: look at pages in the table!)

• 14 minutes

• 102 minutes

• 32 minutes

• 126 minutes

At work, Mr. Grinnell receives 20 phone calls every 60 minutes. How many calls should he expect to receive in 180 minutes?

Select all correct answers.

• $\frac{20\ phone\ calls}{60\ \min}=\frac{x\ phone\ calls}{180\ \min}$

• $\frac{60\ \min}{20\ phone\ calls}=\frac{x\ phone\ calls\ }{180\ \min}$

• 60 phone calls in 180 minutes

• 1 phone call every 3 minutes

• 3 phone calls every minute