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A recipe calls for 3 ounces of flour for every 2 ounces of sugar. Find the constant of proportionality.

• $k=\frac{2}{3}=0.666...$

• $k\ =\ \frac{3}{2}=1.5$

• $k\ =\ 2$

• $k\ =\ 3$

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.RP.A.2

You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you​ travel?

• x = 8y

• y = 1.4x

• x = 1.4y

• y = 8x

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.EE.C.9

CCSS.6.RP.A.2

Water is steadily dripping from a faucet into a bowl. What is the constant of proportionality for the relationship between the number of milliliters y of water in the bowl and the time in seconds​ x?

• k= $\frac{20}{320}=\frac{1}{16}$

• k = 16
  

• k = 20

• k = 320

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.EE.C.9

CCSS.6.RP.A.2

Suppose the relationship between x and y is proportional. When x is​ 29, y is 275.5. Find the constant of proportionality of y to x.

• k = 0.105

• k = 0.95

• k = 9.5

• k = 10.5

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.EE.B.7

Suppose the relationship between x and y is proportional. When x is​ 29, y is 275.5. Find the constant of proportionality of y to x. Use the constant of proportionality to find x when y is 408.5.

• x = 38

• x = 39

• x = 42

• x = 43

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.EE.C.9

CCSS.6.RP.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

The width of a row of identical townhouses is in a proportional relationship with the number of townhouses. The diagram suggests a row of 5 townhouses and gives their total width. Use the constant of proportionality to find the width of a row of 9 townhouses.

• 20 feet

• 21 feet

• 180 feet

• 189 feet

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=kx can be written for the situation.

• No. Since the​ x-values in the table do not increase at a constant​ rate, the relationship is not proportional.​ So, an equation cannot be written for the situation.

• No. Since the value of the ratio y/x is not the same for each pair of​ values, the relationship is not proportional.​ So, an equation cannot be written for the situation.

• Yes. Since the value of the ratio y/x is the same for each pair of​ values, the relationship is proportional.​ So, an equation can be written for the situation.

• Yes. Since the​ y-values in the table increase at a constant​ rate, the relationship is proportional.​ So, an equation can be written for the situation.

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.EE.C.9

CCSS.6.RP.A.2

An engineer makes​ different-size samples of a new material. The table shows volumes and the related masses. What would be the mass of 100 cubic centimeters of the​ material?

• 0.1 grams

• 10 grams

• 1,000 grams

• 10,000 grams

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CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.EE.C.9

CCSS.6.RP.A.2

CCSS.6.EE.B.7

The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When​ shredded, a​ 50-lb block of cheese is enough to make 150 large pizzas. Which equation represents this relationship?

• y = $\frac{1}{3}$ x

• y = 3 x

• y = 50 x

• y = 150 x

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.EE.C.9

For every 3 lemons you buy at a farm​ stand, the total cost increases by​ $1.80.

The constant of proportionality is​ ___.

• k = 0.60

• k = 5

• k = 5.40

• k = 6

Tags

CCSS.6.RP.A.3

CCSS.6.RP.A.1

CCSS.6.RP.A.2