Mastering Slope-Intercept: Real-World Cost Scenarios

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the slope-intercept equation for the total cost (C) in terms of miles driven (m). What does the slope represent in this context?

• C = 20 + 0.10m; the slope is 0.10.

• C = 20 + 0.20m; the slope is 0.20.

• C = 15 + 0.15m; the slope is 0.15.

• C = 20 + 0.15m; the slope is 0.15.

A gym membership costs $30 to join and $10 per month. Write the slope-intercept equation for the total cost (C) in terms of months (m). How would you interpret the slope in this scenario?

• C = 10m + 30

• C = 10m + 20

• C = 30m + 10

• C = 5m + 30

A phone plan charges a base fee of $25 and $0.05 per text message sent. Write the equation in slope-intercept form. What does the slope indicate about the cost of texting?

• C = 20 + 0.05x

• C = 25 + 0.10x

• C = 25 + 0.05x

• C = 25 + 0.02x

A delivery service charges a $5 fee plus $2 per mile for delivery. Write the slope-intercept equation for the total cost (C) based on miles (m). How does the slope relate to the distance traveled?

• C = 5 + 3m; the slope is 3, indicating a higher cost per mile.

• C = 2 + 5m; the slope is 5, showing a flat rate regardless of distance.

• C = 10 + 1m; the slope is 1, meaning the cost decreases with more miles.

• C = 5 + 2m; the slope is 2, representing the cost increase per mile.

A school is selling tickets for a play at $8 each, with a fixed cost of $50 for the venue. Write the slope-intercept equation for the total revenue (R) in terms of tickets sold (t). What does the slope tell you about the revenue generated per ticket?

• R = 50 + 8t

• R = 8t + 50

• R = 8t

• R = 8t - 50

A local farmer sells apples for $2 each and has a fixed cost of $10 for supplies. Write the slope-intercept equation for the total income (I) based on the number of apples sold (a). Interpret the slope in this context.

• I = 2a - 10

• I = 2a

• I = 2a + 10

• I = 10a - 2

A subscription service charges $15 per month with an initial setup fee of $45. Write the slope-intercept equation for the total cost (C) in terms of months (m). What does the slope represent?

• C = 15m + 30; the slope represents the initial setup fee of $30.

• C = 10m + 45; the slope represents a discount of $10 per month.

• C = 20m + 45; the slope represents the total cost of $20.

• C = 15m + 45; the slope represents the monthly cost of $15.

A taxi company charges a base fare of $3 plus $1.50 per mile. Write the slope-intercept equation for the total fare (F) based on miles (m). How would you interpret the slope in this situation?

• F = 3m + 1.50

• F = 2m + 3

• F = 1.50m + 1

• F = 1.50m + 3

A bookstore sells novels for $12 each and has a fixed cost of $100 for inventory. Write the slope-intercept equation for the total sales (S) based on the number of novels sold (n). What does the slope indicate about the sales?

• S = 12n + 100; the slope indicates that each novel sold increases total sales by $12.

• S = 10n + 100; the slope indicates that each novel sold decreases total sales by $10.

• S = 12n - 100; the slope indicates that each novel sold has no effect on total sales.

• S = 15n + 100; the slope indicates that each novel sold increases total sales by $15.

A concert ticket costs $50 plus a $10 service fee. Write the slope-intercept equation for the total cost (C) in terms of tickets purchased (t). How does the slope relate to the number of tickets bought?

• C = 60t + 10; slope = 60, indicating the cost increases by $60 for each additional ticket.

• C = 50t + 10; slope = 50, indicating the cost increases by $50 for each additional ticket.

• C = 50t; slope = 0, indicating the cost does not change with additional tickets.

• C = 10t + 50; slope = 10, indicating the cost increases by $10 for each additional ticket.