Linear Equations: Slope and Y-Intercept Challenges

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation for the total cost (y) in terms of miles driven (x). What is the slope and y-intercept?

• y = 20 + 0.20x; slope = 0.20; y-intercept = 20

• y = 20 + 0.10x; slope = 0.10; y-intercept = 20

• y = 20 + 0.15x; slope = 0.15; y-intercept = 20

• y = 15 + 0.15x; slope = 0.15; y-intercept = 15

A gardener is planting flowers in a straight line. The first flower is planted at 2 feet from the starting point, and each subsequent flower is planted 1.5 feet apart. Write the equation for the position of the nth flower. Identify the slope and y-intercept.

• y = 1.5n + 0.5; slope = 1.5, y-intercept = 0.5

• y = 2n + 0.5; slope = 2, y-intercept = 0.5

• y = 1.5n + 2; slope = 1.5, y-intercept = 2

• y = 1.5n + 1; slope = 1.5, y-intercept = 1

A phone plan costs $30 per month plus $0.10 for each text message sent. Write the equation for the total cost (y) in terms of the number of text messages (x). What is the slope and y-intercept?

• y = 30 + 0.20x; slope = 0.20; y-intercept = 30

• y = 30 + 0.10x; slope = 0.10; y-intercept = 30

• y = 30 + 0.05x; slope = 0.05; y-intercept = 30

• y = 30 + 0.10x; slope = 30; y-intercept = 0

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 the equation for the total cost (y) in terms of the number of students (x). Identify the slope and y-intercept.

• y = 20x + 200; Slope: 20, Y-intercept: 200

• y = 10x + 200; Slope: 10, Y-intercept: 200

• y = 15x + 200; Slope: 15, Y-intercept: 200

• y = 15x + 150; Slope: 15, Y-intercept: 150

A bakery sells cupcakes for $3 each and has a fixed cost of $50 for ingredients. Write the equation for the total revenue (y) in terms of the number of cupcakes sold (x). What is the slope and y-intercept?

• y = 2x; slope = 2, y-intercept = 50

• y = 3x + 50; slope = 3, y-intercept = 50

• y = 3x; slope = 3, y-intercept = 0

• y = 5x; slope = 5, y-intercept = 0

A fitness center charges a monthly fee of $25 plus $5 for each class attended. Write the equation for the total cost (y) in terms of the number of classes (x). Identify the slope and y-intercept.

• y = 25 + 5x; slope = 5, y-intercept = 25

• y = 25 + 10x; slope = 10, y-intercept = 25

• y = 30 + 5x; slope = 5, y-intercept = 30

• y = 20 + 5x; slope = 5, y-intercept = 20

A taxi company charges a base fare of $2.50 plus $0.50 for each mile driven. Write the equation for the total fare (y) in terms of miles driven (x). What is the slope and y-intercept?

• y = 2.50 + 0.50x; slope = 0.50, y-intercept = 2.50

• y = 2.50 + 0.25x; slope = 0.25, y-intercept = 2.50

• y = 0.50 + 2.50x; slope = 2.50, y-intercept = 0.50

• y = 2.00 + 0.50x; slope = 0.50, y-intercept = 2.00

A bookstore sells novels for $10 each and has a fixed cost of $100 for renting the space. Write the equation for the total revenue (y) in terms of the number of novels sold (x). Identify the slope and y-intercept.

• y = 10x + 100; slope = 10, y-intercept = 100

• y = 5x; slope = 5, y-intercept = 0

• y = 15x; slope = 15, y-intercept = 0

• y = 10x; slope = 10, y-intercept = 0

A concert venue charges $50 for a ticket and has a fixed cost of $500 for the event. Write the equation for the total revenue (y) in terms of the number of tickets sold (x). What is the slope and y-intercept?

• y = 500x; slope = 500; y-intercept = 500

• y = 50x - 50; slope = 50; y-intercept = -50

• y = 50x; slope = 50; y-intercept = 0

• y = 50x + 500; slope = 50; y-intercept = 500

A delivery service charges a flat fee of $5 plus $2 for each package delivered. Write the equation for the total cost (y) in terms of the number of packages (x). Identify the slope and y-intercept.

• y = 5 + 2x; slope = 2, y-intercept = 5

• y = 5x + 2; slope = 5, y-intercept = 0

• y = 2 + 5x; slope = 2, y-intercept = 0

• y = 2x + 5; slope = 5, y-intercept = 2