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 the equation for the total cost (C) in terms of miles driven (m). What is the slope and y-intercept of this equation?

• Slope: 0.50, Y-intercept: 20

• Slope: 1.00, Y-intercept: 15

• Slope: 20, Y-intercept: 0.50

• Slope: 0.25, Y-intercept: 30

Maria is saving money to buy a new bike. She saves $15 each week. If she starts with $30, write an equation to represent her savings (S) after w weeks. What does the slope represent in this context?

• S = 15w + 30; the slope represents the weekly savings of $15.

• S = 10w + 30; the slope represents the savings after 10 weeks.

• S = 15w - 30; the slope represents the total cost of the bike.

• S = 30w + 15; the slope represents the initial savings of $30.

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write an equation for the total number of flowers (F) planted after h hours. What is the slope of this equation?

• F = 5h + 2; slope = 5

• F = 5h; slope = 5

• F = 10h; slope = 10

• F = 3h; slope = 3

A phone company offers a plan that costs $30 per month plus $0.10 per text message sent. Write the equation for the total cost (C) in terms of the number of text messages (t). Identify the slope and y-intercept.

• C = 30 + 0.10t; slope = 0.10, y-intercept = 30

• C = 20 + 0.10t; slope = 0.10, y-intercept = 20

• C = 30 + 0.10t; slope = 30, y-intercept = 0

• C = 30 + 0.05t; slope = 0.05, y-intercept = 30

A school is selling tickets for a play. Each ticket costs $8, and they have a fixed cost of $200 for the venue. Write an equation for the total revenue (R) in terms of the number of tickets sold (n). What does the slope represent?

• R = 8n - 200

• R = 8n

• R = 8n + 200

• R = 200n

Tom is running a lemonade stand. He sells lemonade for $2 per cup. If he starts with $10, write an equation for his total earnings (E) after selling c cups. What is the y-intercept in this scenario?

• 5

• 20

• 10

• 15

A train travels at a constant speed of 60 miles per hour. Write an equation for the distance (D) traveled after t hours. What is the slope of this equation, and what does it represent?

• D = 60t^2; slope = 120t (acceleration instead of constant speed)

• D = 30t; slope = 30 (half the speed of the train)

• D = 60t; slope = 60 (speed of the train in mph)

• D = 60t + 10; slope = 60 (constant speed with an initial distance)

A bookstore sells notebooks for $3 each and has a fixed cost of $50 for supplies. Write an equation for the total cost (C) in terms of the number of notebooks (n). What is the y-intercept?

• C = 3n + 30; y-intercept = 30

• C = 4n + 50; y-intercept = 50

• C = 3n + 50; y-intercept = 50

• C = 5n + 50; y-intercept = 50

A local gym charges a membership fee of $25 plus $5 for each class attended. Write an equation for the total cost (C) in terms of the number of classes (c). What does the slope indicate about the cost?

• C = 25 + 5c; The slope indicates that each class costs an additional $5.

• C = 25 + 10c; The slope indicates that each class costs an additional $10.

• C = 25 + 2c; The slope indicates that each class costs an additional $2.

• C = 5c; The slope indicates that there is no membership fee.

A delivery service charges a base fee of $10 plus $2 for each mile driven. Write the equation for the total charge (C) in terms of miles driven (m). Identify the slope and y-intercept of this equation.

• C = 5 + 2m; slope = 2; y-intercept = 5

• C = 10 + 1m; slope = 1; y-intercept = 10

• C = 10 + 3m; slope = 3; y-intercept = 10

• C = 10 + 2m; slope = 2; y-intercept = 10