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Exploring Constant Rates: Graphs and Equations in Action

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Exploring Constant Rates: Graphs and Equations in Action
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car travels at a constant speed of 60 miles per hour. If the graph shows the distance traveled over time, what is the slope of the graph?

120 miles per hour

30 miles per hour

90 miles per hour

60 miles per hour

Tags

CCSS.HSF.IF.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bike rental service charges a flat fee of $10 plus $2 for every hour rented. Write the equation that represents the total cost based on the number of hours rented. What does the slope represent?

C = 10 + 2h; The slope represents the cost per hour of renting the bike.

C = 10 + 3h; The slope represents the discount per hour of renting the bike.

C = 10 + 5h; The slope represents the total cost of renting the bike.

C = 5 + 2h; The slope represents the initial fee for renting the bike.

Tags

CCSS.HSF.LE.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A water tank is being filled at a constant rate. The graph shows the volume of water in the tank over time. If the tank reaches 100 liters in 5 hours, what is the rate of change?

15 liters per hour

20 liters per hour

25 liters per hour

30 liters per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A student is saving money for a new phone. The graph shows her savings over time, and it increases by $15 each week. Write the equation for her savings after 'w' weeks. What does the slope indicate?

S = 20w; the slope indicates the savings increase by $20 each week.

S = 15w; the slope indicates the savings increase by $15 each week.

S = 10w; the slope indicates the savings increase by $10 each week.

S = 15w + 5; the slope indicates the savings decrease by $15 each week.

Tags

CCSS.HSF.LE.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A train travels 150 miles in 3 hours. If you were to graph the distance over time, what would be the slope of the line? How does this relate to the train's speed?

50 miles per hour

30 miles per hour

75 miles per hour

100 miles per hour

Tags

CCSS.8.EE.B.5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A factory produces 200 widgets in 4 hours. If the production rate is constant, write an equation that represents the number of widgets produced over time. What does the slope of this graph represent?

W(t) = 200t; the slope represents the total production of 200 widgets.

W(t) = 100t; the slope represents the production rate of 100 widgets per hour.

W(t) = 50t; the slope represents the production rate of 50 widgets per hour.

W(t) = 25t; the slope represents the production rate of 25 widgets per hour.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gardener plants flowers in a row, and the graph shows the number of flowers planted over time. If he plants 10 flowers every hour, what is the rate of change? Write the equation for the number of flowers after 'h' hours.

Rate of change: 15 flowers/hour; Equation: F(h) = 15h

Rate of change: 5 flowers/hour; Equation: F(h) = 5h

Rate of change: 10 flowers/hour; Equation: F(h) = 10h

Rate of change: 10 flowers/hour; Equation: F(h) = h + 10

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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