Rates, Ratios, Unit Rates, and Proportions

A rate with a denominator of "1"

• Equivalent Ratios

• Unit Rate

• Proportion

• Ratio

two ratios that express the same relationship between numbers

• Proportion

• Equivalent Ratios

• Unit Rates

• Ratios

the products of the terms of the diagonals when two ratios are compared.

• Proportion

• Equivalent Ratios

• Butterfly Method

• Cross Products

a comparison of two quantities with different units by division

• Rate

• Equivalent Ratios

• Unit Rates

• Ratios

• a
• b
• c
• d

What is a rate for this graph?

• 20 minutes per 6 miles

• 60 minutes per 12 miles

• 80 minutes per 24 miles

• 100 minutes per 24 miles

Clara and Toby are telemarketers.
Yesterday, Clara reached 8 people in 20 phone calls, while Toby reached 6 people in 16 phone calls.
If they continue at those rates, who will reach more people in 40 phone calls?
Use the drop-down menu to show your answer.​

​ (a)   will reach more people.

• Clara

• Toby

Answer explanation

If Clara reaches 8 people in 20 calls she would reach 16 people in 40 calls. 16 2.5 = 40; So 6 * 2.5 = 15 in 40 calls for Toby. Clara reaches one more person.

Tags

CCSS.MATH.CONTENT.7.RP.A.1

CCSS.MATH.CONTENT.7.RP.A.3

A lumber company cuts 10 trees in 4 hours. Another lumber company cuts 50 trees in 20 hours.
Are the two lumber companies working at the same rate?

• Yes, they are both cutting 2.5 trees per hour.

• Yes, they are both cutting 10 trees in two hours.

• No, the company cutting 10 trees in 4 hours is faster.

• No, the company ctting 50 trees in 20 hours is faster.

A ratio of two quantities with different units​ (a)  

• rate

• unit rate

• ratio

What is the cost per hour for a canoe rental?

• $12 per hour

• $14 per hour

• $18 per hour

• $26 per hour