The graphs show the proportional relationships between the area paved and the total cost for two different companies. Compare the unit rates (slopes) of the two companies to determine which statement is true.

Company A is more expensive because its unit rate is $$\$15$$ per square foot.

Company A is cheaper because its unit rate is $$\$12$$ per square foot.

Company B is more expensive because its unit rate is $$\$15$$ per square foot.

Both companies charge the same amount because both lines pass through a point where the cost is $$\$60$$ .

A train travels at a constant speed as shown in the graph. Which statements about the slope of the line are true? Select all that apply.

The unit rate is $$75$$ miles per hour.

The slope of the line is equal to the ratio of the y-coordinate to the x-coordinate for the point $$(2, 150)$$ .

The equation $$y = 75x$$ represents the relationship shown in the graph.

The slope of the line is $$2$$ .

The slope represents a change of $$150$$ hours for every $$2$$ miles traveled.

A laboratory technician is tracking the mass of a substance as it grows over time. The graph shows the relationship between the time in minutes and the mass in grams. Based on the graph, what is the meaning of the coordinates of the plotted point $$(4, 48)$$ ?

The substance has a mass of $$48$$ grams after $$4$$ minutes.

The substance has a mass of $$4$$ grams after $$48$$ minutes.

The substance increases its mass at a unit rate of $$4$$ grams per minute.

The substance increases its mass at a unit rate of $$48$$ grams per minute.

The graph shows the distance an electric bike travels over time at a constant speed. Based on the graph, which statements correctly interpret the slope or the unit rate of the bike's travel? Select all that apply.

The slope of the line represents the constant speed of $$18$$ miles per hour.

The point $$(1, 18)$$ on the graph shows the distance the bike travels in $$1$$ hour.

The bike travels at a unit rate of $$9$$ miles per hour.

For every $$18$$ hours that pass, the bike travels a distance of $$1$$ mile.

The graph shows that the bike travels $$36$$ miles for every $$1$$ hour of travel.

What is the relationship between the unit rate and the slope of the line shown in the graph?

The slope of the line is equal to the unit rate.

The slope of the line is the square of the unit rate.

The slope of the line is half of the unit rate.

The slope of the line is unrelated to the unit rate.

The graph shows the relationship between the time a car travels and the distance it covers. Based on the graph, what is the relationship between the slope of the line and the unit rate of the car?

The slope is $$65$$ and the unit rate is $$65 \\text{ miles per hour}$$ .

The slope is $$2$$ and the unit rate is $$130 \\text{ miles per hour}$$ .

The slope is $$130$$ and the unit rate is $$65 \\text{ miles per hour}$$ .

The slope is $$\frac{1}{65}$$ and the unit rate is $$130 \\text{ miles per hour}$$ .

A cyclist travels at a constant speed as shown on the graph. Based on the visual data, why is the slope of the line equivalent to the cyclist's unit rate?

The slope is $$12$$ because it represents the constant change of $$12$$ miles for every $$1$$ hour, which is the unit rate of the journey.

The slope is $$12$$ because the line passes through the point $$(12, 1)$$ , which represents $$12$$ miles traveled in $$1$$ hour.

The slope is $$\frac{1}{12}$$ because the unit rate is found by dividing the x-coordinate by the y-coordinate at any point on the line.

The slope is $$60$$ because the line ends at the point $$(5, 60)$$ , and the unit rate is always the largest y-value shown on the graph.

A student is comparing two different proportional relationships shown in the graph and the table. Select all the statements that correctly identify the unit rate for these representations.

In Graph A, the unit rate is $$50$$ miles per hour because the slope of the line is $$\frac{200}{4}$$ .

In Table B, the unit rate is $$45$$ dollars per pound because the ratio of cost to weight is constant at $$\frac{45}{1}$$ .

In Graph A, the unit rate is $$40$$ miles per hour because the slope of the line is $$40$$ .

In Table B, the unit rate is $$35$$ dollars per pound because $$135 - 100 = 35$$ .

Both Graph A and Table B represent the same unit rate of $$50$$ units per measurement.

8.EE.5 - Question_bank

Authored by Aadil Khurshid

Mathematics

8th Grade

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line shown in the graph?

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8.EE.5

Graphing proportional relationships and identif...

DOK 1

Blooms Level: Understand

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the slope of the line?

3/5

Mathematical Equivalence

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8.EE.5

Graphing proportional relationships and identif...

DOK 1

Blooms Level: Understand

GRAPHING QUESTION

3 mins • 1 pt

Tags

8.EE.5

Graphing proportional relationships and identif...

DOK 1

Blooms Level: Understand

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line shown in the graph?

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8.EE.5

Graphing proportional relationships and identif...

DOK 1

Blooms Level: Apply

MATH RESPONSE QUESTION

2 mins • 1 pt

Write the linear equation that represents the proportional relationship shown.

Mathematical Equivalence

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8.EE.5

Graphing proportional relationships and identif...

DOK 1

Blooms Level: Apply

GRAPHING QUESTION

3 mins • 1 pt

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8.EE.5

Graphing proportional relationships and identif...

DOK 1

Blooms Level: Apply

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Line P

Line Q

Line R

Line S

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8.EE.5

DOK 2

Graphing proportional relationships and identif...

Blooms Level: Apply

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8.EE.5 - Question_bank

What is the slope of the line shown in the graph?

What is the slope of the line?

What is the slope of the line shown in the graph?

Write the linear equation that represents the proportional relationship shown.

The graph shows the proportional relationship between the time a hiker spends walking and the total distance traveled. Based on the coordinates provided in the graph, what is the slope of the line?

The graphs show the proportional relationships between the area paved and the total cost for two different companies.Compare the unit rates (slopes) of the two companies to determine which statement is true.

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Discover more resources for Mathematics

The graph shows the proportional relationship between the time a hiker spends walking and the total distance traveled.

Based on the coordinates provided in the graph, what is the slope of the line?

The graphs show the proportional relationships between the area paved and the total cost for two different companies.
Compare the unit rates (slopes) of the two companies to determine which statement is true.