Real-Life Linear Equations: Slope, Intercept & Conversion

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

• Slope: 0.15, Y-intercept: 20

• Slope: 0.20, Y-intercept: 15

• 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 = 3c + 30; Slope: 3, Intercept: 30

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

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

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

A phone plan costs $25 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 = 0.10t - 25

• C = 25 + 0.10t

• C = 25t + 0.10

• C = 0.10 + 25t

A school is selling tickets for a play. The tickets cost $10 each, and there is a one-time fee of $50 for the venue. Write the equation in slope-intercept form for the total revenue (R) based on the number of tickets sold (n). Identify the slope and intercept.

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

• R = 10n + 100; slope = 10, intercept = 100

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

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

A delivery service charges a base fee of $5 plus $2 for each mile driven. Write the equation in slope-intercept form for the total charge (C) based on the number of miles (m) driven. What is the slope and y-intercept?

• Slope: 5, Y-intercept: 2

• Slope: 0, Y-intercept: 5

• Slope: 2, Y-intercept: 5

• Slope: 2, Y-intercept: 10

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

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

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

• R = 1.5a + 50; slope = 1.5, intercept = 50

• R = 2a - 100; slope = 2, intercept = -100

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 flat rate of $3 plus $1.50 per mile. Write the equation in slope-intercept form for the total fare (F) based on the number of miles (m) traveled. Identify the slope and intercept.

• F = 2m + 3; Slope: 2, Intercept: 3

• F = 1.50m + 3; Slope: 1.50, Intercept: 3

• F = 3m + 1.50; Slope: 3, Intercept: 1.50

• F = 1.50m + 1; Slope: 1.50, Intercept: 1

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

• Slope: 10, Y-intercept: 200

• Slope: 5, Y-intercept: 100

• Slope: 0, Y-intercept: 5

• Slope: 5, Y-intercept: 0

A concert venue charges a base fee of $1000 plus $50 for each ticket sold. Write the equation in slope-intercept form for the total income (I) based on the number of tickets sold (t). Identify the slope and intercept.

• I = 1000t + 50; slope = 1000, intercept = 50

• I = 1000 + 50t; slope = 1000, intercept = 50

• I = 50t + 1000; slope = 50, intercept = 1000

• I = 50t - 1000; slope = 50, intercept = -1000