Proportions Unit Rate

Clara and Toby are telemarketers. Yesterday, Clara reached 4 people in 10 phone calls, while Toby reached 3 people in 8 phone calls. If each telemarketer continues at the same rate, who will reach more people in 40 calls? And by how much?

• Clara by 1

• Toby by 12

• Clara by 40

• Toby by 16

Answer explanation

You can set up two different proportins for each person to see how much they will do in 40 calls, then can compare

Select the unit rate

Answer explanation

unit rate is when one is the denominator

How do you know whether two quantities x and y are proportional?

• Every x term is a multiple of the previous term.

• Every sum x + y is the same for related pairs of x and y.

• Every difference x - y is the same for related pairs of x and y

The relationship between x and y is proportional. When x is 3, y is 51.What is x when y is 204?

• 10

• 12

• 3

• 612

If a graph is proportional and the unit rate is 3, the point for the unit rate would be

• (3,1)

• (1,3)

• (0,3)

• (3,0)

Opie rides his bicycle 34 miles in 5 minutes along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?

• 6.5

• 12

• 5.8

• 9

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound

• $5 per pound

• $35 per pound

• 0.125 pounds per dollar

You can buy 36 cookies for $4. What is the unit rate (in cookies per dollar)?

• 4 cookies per dollar

• 6 cookies per dollar

• 9 cookies per dollar

• 1/9 dollars per cookie

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality (how much did he make per hour)?

• $37

• $64.75

• $9.25

• $18.50

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

• 16 customers per hour

• 15 customers per hour

• 12 customers per hour

• 20 customers per hour