Exploring Slope and Intercept in Real-Life Scenarios

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Write a linear equation to represent the total cost (C) in terms of miles driven (m). What is the slope and intercept of this equation?

• C = 20 + 1.00m; Slope: 1.00, Intercept: 20

• C = 20 + 0.25m; Slope: 0.25, Intercept: 20

• C = 20 + 0.50m; Slope: 0.50, Intercept: 20

• C = 0.50m; Slope: 0.50, Intercept: 0

If you save $5 each week, how much money will you have saved after w weeks? Write a linear equation for this situation and identify the slope and y-intercept.

• S = 5w + 2; slope = 5; y-intercept = 2

• S = 3w; slope = 3; y-intercept = 0

• S = 5w; slope = 5; y-intercept = 0

• S = 10w; slope = 10; y-intercept = 5

A school is planning a field trip. The cost per student is $15, and there is a fixed cost of $200 for the bus. Write a linear equation for the total cost (C) based on the number of students (s). What do the slope and intercept represent?

• C = 20s + 200

• C = 15s + 150

• C = 10s + 200

• C = 15s + 200

A gardener plants flowers in rows. If each row has 4 flowers, write a linear equation to represent the total number of flowers (F) in terms of the number of rows (r). What is the slope of this equation?

• F = 3r; slope = 3

• F = 2r; slope = 2

• F = 4r; slope = 4

• F = 4r + 1; slope = 4

A phone company charges a monthly fee of $30 plus $10 for each gigabyte of data used. Write the linear equation for the total bill (B) based on data used (d). What does the slope represent in this context?

• B = 30d + 10; the slope represents the total monthly fee.

• B = 10 + 30d; the slope represents the fixed cost of the phone plan.

• B = 10 + 30d; the slope represents the total data used.

• B = 30 + 10d; the slope represents the cost per gigabyte of data.

A bookstore sells notebooks for $3 each. If you buy n notebooks, write a linear equation for the total cost (C). What is the y-intercept of this equation?

• $9

• $0

• n

• $3

• 0

A taxi charges a base fare of $2.50 and $1.25 for each mile driven. Write a linear equation for the total fare (F) based on miles driven (m). What is the slope and what does it represent?

• F = 1.25m; Slope = 1.25 (total fare)

• F = 2.50m + 1.25; Slope = 2.50 (base fare)

• F = 1.25 + 2.50m; Slope = 2.50 (cost per mile)

• F = 2.50 + 1.25m; Slope = 1.25 (cost per mile)

A factory produces 100 toys per hour. Write a linear equation to represent the total number of toys (T) produced in h hours. What is the slope of this equation?

• The slope of the equation is 75.

• The slope of the equation is 50.

• The slope of the equation is 100.

• The slope of the equation is 200.

A concert ticket costs $50, and there is a service fee of $10. Write a linear equation for the total cost (C) of t tickets. What does the y-intercept represent?

• C = 10t + 50; y-intercept represents the total cost of 1 ticket.

• C = 50t; y-intercept represents the cost of 0 tickets.

• C = 50t + 5; y-intercept represents the ticket price of $50.

• C = 50t + 10; y-intercept represents the service fee of $10.

A delivery service charges a flat fee of $15 plus $2 for each package delivered. Write a linear equation for the total charge (C) based on the number of packages (p). What is the slope and what does it indicate?

• C = 15 + 3p; slope = 3, indicating $3 increase per package.

• C = 10 + 2p; slope = 2, indicating $2 increase per package.

• C = 15 + p; slope = 1, indicating $1 increase per package.

• C = 15 + 2p; slope = 2, indicating $2 increase per package.