Review Game for Chapter 6: Proportions

• 11 to 3

• 3:11

• 3:5

• 5/3

Answer explanation

If you divide both 15 and 55 by 5, you would get 3/11, which could be written as 3:11.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Is 49:637 the same ratio as 208 to 16?

• Yes

• No

Answer explanation

Tags

CCSS.6.RP.A.3A

If Ryan is able to run 3/4 mile in 5 7/8 minutes, how fast can he run a mile in minutes per mile? Answer without a calculator by leaving your answer as a fraction using a /. For example, if your answer was "two-thirds," you would type 2/3.

(a)  

Answer explanation

Tags

CCSS.7.RP.A.1

Olivia goes into gardening and is growing some Hosta plants. The graph to the right shows their rate of growth. Based on the graph, which statement about the unit rate of growth is true?

• Point A shows that the unit rate is about 0.6 inches per day

• Point B shows that the unit rate is about 0.5 inches per day

• Point C shows that the unit rate is about 0.4 inches per day

• The graph is not proportional and therefore doesn’t have a unit rate

Answer explanation

Point C is the only point that exists where gridlines intersect one another. The coordinates of point C are (9, 4). To find the unit rate, we could divide 4/9 to get 0.444444, which is about 0.4 inches per day.

Tags

CCSS.7.RP.A.2D

If Richard gets a special deal and decides to spend $78 on 36 Big Mac’s for his family's family reunion, what is the unit rate of each Big Mac? Round to the nearest hundredth

(a)  

Answer explanation

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Does this table represent a proportional relationship?

• Yes, and the constant of variation is 3

• Yes, and the constant of variation is 1/3

• No

Answer explanation

To find the constant of variation, divide the dependent variable's value (the second column) by the corresponding independent value (the first column). Since 6/2=3, 24/8=3, and 30/10=3, the constant of variation is 3.

Tags

CCSS.7.RP.A.2A

Does the table represents a proportional relationship? If it does, find the unit rate.

• Yes, with a unit rate of about 0.3

• Yes with a unit rate of 3.25

• No, it doesn't represent a proportional relationship

Answer explanation

To find the unit rate, divide the dependent variable's value (the second column) by the corresponding independent value (the first column). Since 13/4=3.25, 39/12=3.25, and 65/20=3.25, then the unit rate must be 3.25.

Tags

CCSS.7.RP.A.2A

Jimmy is tracking his progress on the stuffed animals he’s creating. After 3/4 hour, he had completed 1/8 stuffed animal. After 4 1/2 hours, he completed 3/4 of a stuffed animal. Is there a proportional relationship between time t and number of stuffed animals a made?

• No, the relationship is not proportional.

•  Yes, the relationship is proportional and the equation 6*t=a could model the situation.

• Yes, the relationship is proportional and the equation 1/6*t=a could model the situation.

Answer explanation

Tags

CCSS.7.RP.A.2D

Does the table represents a proportional relationship? If it does, find the constant of proportionality

• Yes, with a constant of proportionality of about 0.25

• Yes with a constant of proportionality of 4

• No, it doesn't represent a proportional relationship

Answer explanation

To find the constant of proportionality, divide the dependent variable's value (the second column) by the corresponding independent value (the first column). Since 5/20=0.25, 7/28=0.25, and 11/44=0.25, the constant of proportionality is 0.25 (or 1/4).

Tags

CCSS.7.RP.A.2B

At Aiden’s Sweets Shop, you can buy small cakes that contain 700 calories with 56 strawberry candies on top or large cakes that contain 1,850 calories with 148 strawberry candies on top. Do the two cakes have the same ratio of strawberries to calories?

• No, the two cakes don't have the same ratio

• Yes, and the ratio of strawberries to calories is 2/25

• Yes, and the ratio of strawberries to calories is 25 to 2

Answer explanation

Tags

CCSS.6.RP.A.3A