Exploring Linear Relationships: Slope Calculations Quiz

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope of this line?

• 0.50

• 0.10

• 1.00

• 0.20

A student records the number of hours studied and the scores received on a test. If the data points (2, 70) and (5, 90) are plotted, what is the slope of the line of best fit?

• 7.50

• 8.00

• 6.67

• 5.00

A gardener measures the height of a plant over several weeks. If the height increases from 10 cm to 30 cm over 4 weeks, what is the slope of the line representing the plant's growth?

• 15 cm/week

• 2 cm/week

• 5 cm/week

• 10 cm/week

A store sells notebooks for $2 each and pens for $1 each. If a student buys 3 notebooks and 4 pens, write a linear equation for the total cost (C) in terms of the number of notebooks (n). What is the slope?

• C = 2n + 4; slope = 2

• C = 3n + 1; slope = 3

• C = n + 4; slope = 1

• C = 2n + 3; slope = 1

A bike shop tracks the number of bikes sold each month. If they sold 15 bikes in January and 30 bikes in March, what is the slope of the line representing the increase in bike sales?

• 10

• 7.5

• 20

• 5

A school is collecting data on the number of students participating in sports over the years. If the number of students increased from 50 to 150 over 5 years, what is the slope of the line of best fit?

• 25

• 10

• 20

• 30

A restaurant's daily sales are recorded over a week. If sales were $200 on Monday and $350 on Friday, what is the slope of the line representing the sales trend?

• 50

• 200

• 100

• 37.5

A fitness tracker shows that a person burns 300 calories after 30 minutes of exercise. If the relationship between calories burned (C) and time (t) is linear, what is the slope of the line?

• 20 calories per minute

• 10 calories per minute

• 15 calories per minute

• 5 calories per minute

A local library tracks the number of books checked out each month. If they checked out 100 books in January and 250 books in June, what is the slope of the line representing the increase in book checkouts?

• 100

• 200

• 50

• 30

A farmer measures the yield of corn per acre over several years. If the yield increased from 50 bushels to 100 bushels over 3 years, what is the slope of the line representing the yield growth?

• 16.67 bushels per year

• 10 bushels per year

• 25 bushels per year

• 33.33 bushels per year