Mastering Slope-Intercept: Real-World Word Problems

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form that models the total cost (C) based on the number of miles driven (m). What is the slope and y-intercept?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.25, Y-intercept: 10

• Slope: 0.10, Y-intercept: 25

• Slope: 0.15, Y-intercept: 20

A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 3c + 30; Slope: 3, Intercept: 30

• C = 5c + 25; Slope: 5, Intercept: 25

• C = 10c + 20; Slope: 10, Intercept: 20

• C = 5c + 30; Slope: 5, Intercept: 30

A phone company offers a plan that costs $50 per month plus $0.10 for each text message sent. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t) sent. What do the slope and intercept represent?

• C = 50t + 0.10; Slope (50) represents the base cost, and the intercept (0.10) represents the cost per text message.

• C = 0.10t; Slope (0.10) represents the total cost, and the intercept (0) represents the monthly cost.

• C = 50 + 0.05t; Slope (0.05) represents the cost per text message, and the intercept (50) represents the total cost.

• C = 50 + 0.10t; Slope (0.10) represents the cost per text message, and the intercept (50) represents the base monthly cost.

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation in slope-intercept form for the total delivery cost (D) based on the distance (d) in miles. Identify the slope and intercept.

• D = 5d + 10; slope = 5, intercept = 10

• D = 2d + 10; slope = 2, intercept = 10

• D = 2d + 5; slope = 2, intercept = 5

• D = 10d + 2; slope = 10, intercept = 2

A school is selling tickets for a play. The tickets cost $8 each, and there is a $50 flat fee for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (t). What is the slope and intercept?

• R = 8t + 30; slope = 8, intercept = 30

• R = 10t + 50; slope = 10, intercept = 50

• R = 8t + 50; slope = 8, intercept = 50

• R = 5t + 50; slope = 5, intercept = 50

A local farmer sells apples for $2 each and has a fixed cost of $100 for supplies. Write the equation in slope-intercept form for the total income (I) based on the number of apples sold (a). Identify the slope and intercept.

• I = a + 2; slope = 1, intercept = 2

• I = 2a + 100; slope = 2, intercept = 100

• I = 3a + 100; slope = 3, intercept = 100

• I = 2a + 0; slope = 2, intercept = 0

A subscription service charges $15 per month plus a one-time setup fee of $25. Write the equation in slope-intercept form for the total cost (C) based on the number of months (m) subscribed. What do the slope and intercept represent?

• C = 15m + 25

• C = 10m + 25

• C = 15m - 25

• C = 25m + 15

A taxi company charges a base fare of $3 and $2 for each mile driven. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m) driven. Identify the slope and intercept.

• F = 2m + 3; Slope: 2, Intercept: 3

• F = 5m + 3; Slope: 5, Intercept: 3

• F = 2m + 5; Slope: 2, Intercept: 5

• F = 3m + 2; Slope: 3, Intercept: 2

A bookstore sells notebooks for $5 each and has a fixed cost of $200 for inventory. Write the equation in slope-intercept form for the total sales (S) based on the number of notebooks sold (n). What is the slope and intercept?

• S = 5n + 200; Slope: 5, Intercept: 200

• S = 3n - 200; Slope: 3, Intercept: -200

• S = 5n - 200; Slope: 5, Intercept: -200

• S = 10n + 200; Slope: 10, Intercept: 200

A concert venue charges a flat fee of $1000 for renting the space and $10 per ticket sold. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (t). Identify the slope and intercept.

• R = 10t + 500; Slope: 10, Intercept: 500

• R = 15t + 1000; Slope: 15, Intercept: 1000

• R = 10t + 1000; Slope: 10, Intercept: 1000

• R = 5t + 1000; Slope: 5, Intercept: 1000