A customer at a local market recorded the weight of apples and the total cost in the table shown. Which statement best explains why the relationship between the weight and the total cost is not proportional?

The ratio of $$y$$ to $$x$$ is not the same for every pair of values in the table.

The ratio $$\\frac{y}{x}$$ for the first row is equivalent to $$\\frac{5}{2}$$ .

The values for the weight increase by $$2$$ in each row of the table.

The total cost increases at a constant rate of $$\\$4$$ for every $$2$$ pounds.

Which recipe scenario describes a proportional relationship between the ingredients and the number of items made?

A baker uses $$3$$ cups of sugar for $$2$$ batches of cookies and $$6$$ cups of sugar for $$4$$ batches.

A cook uses $$2$$ teaspoons of salt for $$1$$ pot of soup and $$3$$ teaspoons of salt for $$2$$ pots.

A chef uses $$4$$ eggs for $$1$$ cake and $$6$$ eggs for $$2$$ cakes.

A baker uses $$1$$ cup of milk for $$3$$ loaves of bread and $$3$$ cups of milk for $$5$$ loaves.

Which store sells candles at a rate that represents a proportional relationship?

Store B: $$3$$ candles for $$\$12$$ and $$8$$ candles for $$\$32$$

Store A: $$2$$ candles for $$\$6$$ and $$5$$ candles for $$\$20$$

Store C: $$4$$ candles for $$\$10$$ and $$6$$ candles for $$\$18$$

Store D: $$5$$ candles for $$\$15$$ and $$10$$ candles for $$\$25$$

A train travels at a constant speed of $$60$$ miles per hour. Does this represent a proportional relationship between distance and time?

Yes, because the ratio of distance to time is always $$60$$ .

No, because the speed is the same for each hour.

Yes, because the time increases by $$1$$ hour each step.

No, because the distance increases by $$60$$ miles each step.

The graph provided represents the relationship between the time an athlete runs and the distance covered. Which statement best justifies why the graph represents a proportional relationship?

The graph shows a straight line that passes through the point $$(2, 20)$$ .

The graph uses a constant scale for both the $$x$$ -axis and the $$y$$ -axis.

The graph represents a relationship where the distance increases as the time increases.

A technician charges a flat equipment fee plus an hourly rate for repairs. The graph shows the relationship between the time spent on a repair and the total cost. Based on the graph, which statement correctly explains why the relationship between time and total cost is non-proportional?

The relationship is non-proportional because the line does not pass through the origin $$(0, 0)$$ .

The relationship is non-proportional because the line is straight.

The relationship is non-proportional because the cost increases as the time increases.

The relationship is non-proportional because the line has a constant rate of change.

Four different linear relationships are shown on the coordinate planes. Identify which statements correctly explain why a specific graph represents a non-proportional relationship. Select all that apply.

Graph A represents a non-proportional relationship because the line does not pass through the origin $$(0, 0)$$ .

Graph C represents a non-proportional relationship because it is a straight line that intersects the y-axis at $$8$$ .

Graph D represents a non-proportional relationship because the y-intercept is not at $$0$$ .

Graph B represents a non-proportional relationship because it shows a constant rate of change.

All four graphs represent non-proportional relationships because they are all straight lines.

Does the table represent a proportional relationship?

Yes, because the ratio $$\frac{y}{x}$$ is constant and the line passes through $$(0, 0)$$ .

Yes, because the $$y$$ -values increase by the same amount each time.

No, because the ratio $$\frac{y}{x}$$ changes between the second and third rows.

No, because a proportional relationship cannot include the value $$(0, 0)$$ .

Which condition must be true for a relationship between two quantities to be proportional?

Both values are $$0$$ at the same time.

One value is $$5$$ when the other is $$0$$ .

Both values are greater than $$100$$ .

Identify all the scenarios where the relationship between the quantities in the recipe is proportional.

Making $$12$$ muffins requires $$2$$ cups of flour, and making $$36$$ muffins requires $$6$$ cups of flour.

A dressing recipe uses $$3$$ tablespoons of oil for every $$2$$ tablespoons of vinegar, and a larger batch uses $$12$$ tablespoons of oil for every $$8$$ tablespoons of vinegar.

To make $$5$$ pancakes, $$1$$ egg is used, and to make $$15$$ pancakes, $$3$$ eggs are used.

A recipe for $$1$$ gallon of fruit punch requires $$3$$ cups of juice and $$2$$ cups of soda, but a $$2$$ -gallon batch requires $$6$$ cups of juice and $$3$$ cups of soda.

To make $$4$$ servings of soup, $$3$$ cups of broth are needed, while making $$10$$ servings requires $$8$$ cups of broth.

Which retail pricing scenario describes a proportional relationship between the number of items purchased and the total cost?

A market sells $$3$$ pounds of apples for $$\$5.25$$ and $$5$$ pounds for $$\$8.75$$ .

A store sells $$1$$ hat for $$\$12$$ and $$2$$ hats for $$\$20$$ .

A bakery sells $$1$$ cookie for $$\$1.50$$ and $$12$$ cookies for $$\$15.00$$ .

A juice shop sells $$1$$ bottle for $$\$4.00$$ plus a $$\$0.50$$ recycling fee for the order.

A car travels at a constant speed of $$40$$ miles per hour. Which statement best explains why the relationship between the distance traveled and the time spent driving is proportional?

A constant speed of $$40$$ miles per hour creates a proportional relationship because the ratio of distance to time remains equivalent for any point on the trip.

A constant speed of $$40$$ miles per hour means the ratio of distance to time changes as the vehicle travels further.

If a car travels $$0$$ miles in $$0$$ hours, the relationship is non-proportional because it must start at $$1$$ .

The relationship is proportional because the car covers a different distance during every hour of the trip.

The table shows the proportional relationship between the weight of granola purchased and the total cost at a grocery store. Based on the data, what is the meaning of the values in the third row of the table?

The price for $$8$$ pounds of granola is $$\$28.00$$ .

The price for $$2$$ pounds of granola is $$\$3.50$$ .

Each pound of granola costs exactly $$\$7.00$$ .

A customer can buy $$28$$ pounds of granola for $$\$8.00$$ .

Analyze the data provided in Table A, Table B, and Table C. Which of the following statements about these tables are true? Select all that apply.

Table A represents a proportional relationship because the ratio $$\frac{y}{x}$$ is always $$2.5$$ .

The ratio of $$y$$ to $$x$$ in Table B is constant, showing a proportional relationship with a unit rate of $$\frac{7}{3}$$ .

Table C does not represent a proportional relationship because the ratio $$\frac{15}{3}$$ is not equivalent to the ratio $$\frac{16}{4}$$ .

Table C represents a proportional relationship because the values of $$y$$ increase as the values of $$x$$ increase.

Table B is not proportional because the constant of proportionality is different for each column.

6.PFA.2c - Question_bank

Authored by Akhila Bhaskara

Mathematics

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the relationship shown in the table represent a proportional relationship?

No, because the costs increase by different amounts.

No, because the ratio of photos to cost is not constant.

Tags

6.PFA.2c

Determine whether a proportional relationship e...

DOK 1

Blooms Level: Apply

MULTIPLE SELECT QUESTION

45 sec • 1 pt

A student is analyzing several data sets to identify which scenarios represent a proportional relationship. A proportional relationship exists if there is a constant ratio between the two quantities in the table.
Which of the tables shown represent a proportional relationship? Select all that apply.

Table A

Table B

Table C

Table D

Table E

Tags

6.PFA.2c

Determine whether a proportional relationship e...

DOK 2

Blooms Level: Analyze

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Table 1

Table 2

Table 3

Table 4

Tags

6.PFA.2c

DOK 1

Blooms Level: Apply

Determine that a proportional relationship does...

MULTIPLE SELECT QUESTION

45 sec • 1 pt

A student is analyzing data sets to determine if they show proportional relationships. Examine the five tables provided in the image.
Which statements correctly identify a table that does NOT represent a proportional relationship?

Table 1 represents a non-proportional relationship because the values increase by the same amount.

Tags

6.PFA.2c

DOK 2

Determine that a proportional relationship does...

Blooms Level: Analyze

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the graph represent a proportional relationship?

Yes, because the graph is a straight line that passes through the origin.

Yes, because the graph only contains positive values.

No, because the line does not have a steep slope.

Tags

6.PFA.2c

Determine whether a proportional relationship e...

DOK 1

Blooms Level: Understand

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Does the relationship shown in the table represent a proportional relationship? Analyze the values to determine your answer.

Tags

6.PFA.2c

Determine whether a proportional relationship e...

DOK 2

Blooms Level: Analyze

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Table 1

Table 2

Table 3

Table 4

Table 5

Tags

6.PFA.2c

Determine whether a proportional relationship e...

DOK 1

Blooms Level: Apply

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6.PFA.2c - Question_bank

Does the relationship shown in the table represent a proportional relationship?

A student is analyzing several data sets to identify which scenarios represent a proportional relationship. A proportional relationship exists if there is a constant ratio between the two quantities in the table.Which of the tables shown represent a proportional relationship? Select all that apply.

A student is analyzing data sets to determine if they show proportional relationships. Examine the five tables provided in the image.Which statements correctly identify a table that does NOT represent a proportional relationship?

Does the graph represent a proportional relationship?

Does the relationship shown in the table represent a proportional relationship? Analyze the values to determine your answer.

A customer at a local market recorded the weight of apples and the total cost in the table shown.Which statement best explains why the relationship between the weight and the total cost is not proportional?

Does the graph represent a proportional relationship?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

A student is analyzing data sets to determine if they show proportional relationships. Examine the five tables provided in the image.
Which statements correctly identify a table that does NOT represent a proportional relationship?

A customer at a local market recorded the weight of apples and the total cost in the table shown.
Which statement best explains why the relationship between the weight and the total cost is not proportional?