Exploring Slope-Intercept Form: Real-World Applications

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form and identify the slope. What does the slope represent in this context?

• C = 20m + 0.15; slope = 20, representing the total cost.

• C = 0.15m + 10; slope = 0.15, representing the base fee.

• C = 0.20m + 20; slope = 0.20, representing the cost per mile.

• C = 0.15m + 20; slope = 0.15, representing the cost per mile.

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation in slope-intercept form. How would you interpret the slope in this scenario?

• y = 5x + 30

• y = 10x + 30

• y = 5x - 30

• y = 30x + 5

A phone plan costs $25 per month plus $0.10 for each text message sent. Write the equation in slope-intercept form. What does the slope indicate about the cost of sending text messages?

• y = 25 + 0.20x; The slope indicates that each text message costs an additional $0.20.

• y = 30 + 0.10x; The slope indicates that each text message costs an additional $0.10.

• y = 25 + 0.10x; The slope indicates that each text message costs an additional $0.10.

• y = 25 + 0.05x; The slope indicates that each text message costs an additional $0.05.

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation in slope-intercept form. How can you interpret the slope in terms of delivery costs?

• C = 10m + 2; The slope (10) represents the base fee per mile.

• C = 10 + 5m; The slope (5) represents the total delivery fee.

• C = 10 + 2m; The slope (2) represents the cost per mile driven.

• C = 2m - 10; The slope (2) represents a discount for each mile driven.

A school is selling tickets for a play at $5 each, with a fixed cost of $50 for the venue. Write the equation in slope-intercept form. What does the slope tell you about the revenue from ticket sales?

• R = 5x - 50; the slope is 5, indicating revenue increases by $5 for each ticket sold.

• R = 10x - 50; the slope is 10, indicating revenue increases by $10 for each ticket sold.

• R = 5x + 50; the slope is 5, indicating revenue decreases by $5 for each ticket sold.

• R = 5x - 100; the slope is 5, indicating revenue increases by $5 for every two tickets sold.

A taxi service charges a flat rate of $3 plus $1.50 per mile. Write the equation in slope-intercept form. What does the slope represent in terms of the taxi fare?

• y = 1.5x + 3; slope represents the cost per mile ($1.50).

• y = 3x + 1.5; slope represents the total fare.

• y = 1.5x; slope represents the initial charge.

• y = 2x + 3; slope represents the cost per mile ($2).

A subscription service charges $15 per month plus a one-time fee of $10. Write the equation in slope-intercept form. How would you interpret the slope in this context?

• C = 10m + 15

• C = 15m - 10

• C = 5m + 10

• C = 15m + 10

A concert venue charges $40 for a ticket and has a fixed cost of $200 for the event. Write the equation in slope-intercept form. What does the slope indicate about ticket sales?

• P = 40x + 200; the slope of 40 indicates that for each additional ticket sold, the profit decreases by $40.

• P = 20x - 200; the slope of 20 indicates that for each additional ticket sold, the profit increases by $20.

• P = 40x - 100; the slope of 40 indicates that for each additional ticket sold, the profit increases by $100.

• P = 40x - 200; the slope of 40 indicates that for each additional ticket sold, the profit increases by $40.