Slope-Intercept Equations: 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 represents the total cost (C) as a function of miles driven (m). What is the slope and y-intercept?

• Slope: 0.20, Y-intercept: 15

• Slope: 0.15, Y-intercept: 20

• Slope: 0.25, Y-intercept: 10

• Slope: 0.10, Y-intercept: 25

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

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

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

• C = 3c + 30; Slope: 3, 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 = 50 + 0.05t; Slope = 0.05 (cost per text), Intercept = 50 (fixed monthly cost)

• C = 50t + 0.10; Slope = 50 (fixed cost), Intercept = 0.10 (cost per text)

• C = 50 + 0.10t; Slope = 0.10 (cost per text), Intercept = 50 (fixed monthly cost)

• C = 0.10t; Slope = 50 (fixed cost), Intercept = 0 (no monthly fee)

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 number of miles (m). Identify the slope and y-intercept.

• D = 2m + 5; Slope: 2, Y-intercept: 5

• D = 2m + 10; Slope: 2, Y-intercept: 10

• D = 10m + 2; Slope: 10, Y-intercept: 2

• D = 5m + 10; Slope: 5, Y-intercept: 10

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

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

• R = 10t + 50; slope = 10, 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 y-intercept.

• I = 2a - 100; Slope: 2, Y-intercept: -100

• I = 1.5a - 50; Slope: 1.5, Y-intercept: -50

• I = 2a + 100; Slope: 2, Y-intercept: 100

• I = 3a - 100; Slope: 3, Y-intercept: -100

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

• F = 3m + 2

• F = 2m + 5

• F = 3 + 2m

• F = 2m + 3

A subscription service charges $15 per month plus $1 for each additional movie rented. Write the equation in slope-intercept form for the total cost (C) based on the number of movies rented (r). Identify the slope and intercept.

• C = 2r + 10; Slope: 2, Intercept: 10

• C = 1r + 10; Slope: 1, Intercept: 10

• C = 1r + 15; Slope: 1, Intercept: 15

• C = 15r + 1; Slope: 15, Intercept: 1

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 y-intercept?

• Slope: 5, Y-intercept: 0

• Slope: 0, Y-intercept: 200

• Slope: 5, Y-intercept: -200

• Slope: 10, Y-intercept: -100

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

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

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

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