Writing Equations & Identifying Slope in Real-Life Scenarios

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

• Slope: 0.20, Y-intercept: 15

• Slope: 0.15, Y-intercept: 20

• Slope: 0.15, Y-intercept: 30

• 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 for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

• C = 30 + 10c; Slope = 10, Intercept = 30

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

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

• C = 30 + 2c; Slope = 2, Intercept = 30

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

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

• C = 50 + 0.05t; Slope: 0.05 (cost per text), Intercept: 50 (base cost)

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

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

A school is selling tickets for a play. The tickets cost $8 each, and there is a one-time fee of $50 for the venue. Write an equation for the total revenue (R) based on the number of tickets sold (n). Identify the slope and intercept.

• R = 8n + 50; Slope: 8, Intercept: 50

• R = 50n + 8; Slope: 50, Intercept: 8

• R = 8n; Slope: 8, Intercept: 0

• R = 10n + 50; Slope: 10, Intercept: 50

A delivery service charges a base fee of $10 and $2 for each mile driven. Write the equation for the total charge (C) based on the distance (d) in miles. What do the slope and intercept indicate?

• C = 2 + 10d

• C = 10 - 2d

• C = 10d + 2

• C = 10 + 2d

A local bakery sells cupcakes for $3 each and has a daily fixed cost of $50. Write an equation for the total revenue (R) based on the number of cupcakes sold (c). Identify the slope and intercept of this equation.

• R = 3c; slope = 3, intercept = 0

• R = 3c + 50; slope = 50, intercept = 3

• R = 5c; slope = 5, intercept = 0

• R = 50 + 3c; slope = 3, intercept = 50

A taxi company charges a flat rate of $2.50 plus $1.75 per mile. Write an equation for the total fare (F) based on the number of miles (m) driven. What do the slope and intercept represent?

• F = 1.75 + 2.50m

• F = 3.25 + 1.50m

• F = 2.50 + 1.75m

• F = 2.50m + 1.75

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

• C = 10m + 25; Slope: 10, Intercept: 25

• C = 20m + 25; Slope: 20, Intercept: 25

• C = 15m + 30; Slope: 15, Intercept: 30

• C = 15m + 25; Slope: 15, Intercept: 25

A farmer sells apples for $2 per pound and has fixed costs of $100 for the season. Write an equation for the total revenue (R) based on the pounds of apples sold (p). What do the slope and intercept represent?

• R = 2p

• R = 2p + 100

• R = 3p

• R = p - 2

A concert venue charges a rental fee of $200 plus $10 for each ticket sold. Write an equation for the total income (I) based on the number of tickets sold (t). Identify the slope and intercept of this equation.

• I = 200 + 15t; Slope: 15, Intercept: 200

• I = 100 + 10t; Slope: 10, Intercept: 100

• I = 200 + 10t; Slope: 10, Intercept: 200

• I = 200 + 5t; Slope: 5, Intercept: 200