Quiz about Solve Multi-Step Ratio Problems by Using Proportional Reasoning

Question 1

A proportional relationship is

Accepted Answer

a relationship between equivalent ratios with a constant multiple.

Answer

when two proportions like each other.

Answer

a ratio that can be multiplied.

Answer

when you add a number to both sides of a ratio.

Question 2

How can you change two quantities (numbers) so that they stay in the same proportional relationship?

Accepted Answer

You can multiply both quantities by the same number.

Answer

You can add the same number to each quantity.

Answer

You can add different numbers to each quantity.

Answer

You can multiply both quantities by different numbers.

Question 3

A recipe calls for 15 oz of flour for every 8 oz of milk. Is the relationship between ounces of flour and ounces of milk proportional?

Accepted Answer

Yes

Answer

No

Question 4

A recipe calls for 15 oz of flour for every 8 oz of milk. Which equation can we use to represent this proportional relationship?

Accepted Answer

$$y\ =\ \frac{15}{8}x$$

Answer

$$y\ =\ 15x$$ $$\ $$

Answer

$$\frac{y}{x}=\ 15\ imes\ 8$$

Answer

$$k\ =\ \frac{y}{x}$$

Question 5

A recipe calls for 15 oz of flour for every 8 oz of milk. Use the equation $$y\ =\ \frac{15}{8}x$$ . If you use 15 oz of milk, how much flour should you use?

Accepted Answer

$$28\ \frac{1}{8}\ oz$$

Answer

Answer

Answer

$$120\ oz$$

Question 6

Can you use proportional reasoning to solve the following problem?

If Hector is 8 years old and Mary is 3 years old, how old will Mary be when Hector is 16?

Accepted Answer

No, because there is no constant multiple, so there is no proportional relationship.

Answer

Yes, because Hector's age and Mary's age have a proportional relationship.

Question 7

Can you use proportional reasoning to solve the following problem?

Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $15.75. How much would Marco spend on 5 bags of cat food?

Accepted Answer

Yes, because each bag of cat food costs the same, so there is a constant multiple.

Answer

No, because there is no proportional relationship between the cost of bags of cat food.

Question 8

Emily and Andy each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of wire. Emily needs 24 feet of wire. How much will she spend on wire?

(Hint: the cost is per INCH and Emily needs FEET)

Accepted Answer

$11.52

Answer

$0.04

Answer

$0.96

Answer

$25.00

Question 9

Emily and Andy each go to a hardware store to buy wire. The table shows the relationship between the cost and the length of the wire. Andy needs 13 yards of wire. How much will be spend on wire?

(Hint: the table shows INCHES. Andy needs YARDS.)

Accepted Answer

$18.72

Answer

$75.00

Answer

$900.00

Answer

$0.52

Question 10

The weights of Michael's and Brittney's new puppies are shown in the table and graph. Whose dog gains weight more quickly?

Accepted Answer

Option A is correct

Answer

B.

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