Writing Linear Equations & Identifying Slope/Intercept

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

• C = 20 + 0.20m; Slope: 0.20, Y-intercept: 20

• C = 15 + 0.15m; Slope: 0.15, Y-intercept: 15

• C = 20 + 0.15m; Slope: 0.15, Y-intercept: 20

• C = 20 + 0.10m; Slope: 0.10, Y-intercept: 20

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

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

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

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

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

• 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 the equation for the total revenue (R) based on the number of tickets sold (n). Identify the slope and intercept.

• R = 8n; slope = 8, intercept = 0

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

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

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

A delivery service charges a base fee of $5 plus $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 = 5 + 2d

• C = 5 + d

• C = 5d + 2

• C = 2d

A local bakery sells cupcakes for $3 each and has a fixed cost of $20 for ingredients. Write the equation for the total cost (C) based on the number of cupcakes (c) sold. Identify the slope and intercept.

• C = 2c + 20; Slope: 2, Intercept: 20

• C = 3c + 15; Slope: 3, Intercept: 15

• C = 4c + 20; Slope: 4, Intercept: 20

• C = 3c + 20; Slope: 3, Intercept: 20

A landscaping company charges a flat rate of $100 for a service plus $25 for each hour worked. Write the equation for the total cost (C) based on the number of hours (h) worked. What do the slope and intercept represent?

• C = 100h + 25

• C = 100 + 15h

• C = 25 + 100h

• C = 100 + 25h

A concert venue has a seating capacity of 500 and charges $10 per ticket. If they sell all the tickets, what would be the total revenue (R)? Write the equation for total revenue based on the number of tickets sold (t) and identify the slope and intercept.

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

• R = 5t; slope = 5, intercept = 0

• R = 10t; slope = 10, intercept = 0

• R = 15t; slope = 15, intercept = 0

A subscription box service charges $15 per month plus a one-time fee of $10 for shipping. Write the equation for the total cost (C) based on the number of months (m) subscribed. Identify the slope and intercept.

• C = 20m + 5; slope = 20, intercept = 5

• C = 15m; slope = 15, intercept = 0

• C = 10m + 15; slope = 10, intercept = 15

• C = 15m + 10; slope = 15, intercept = 10

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

• F = 3m + 2; Slope = 3 (cost per mile), Intercept = 2 (base fare)

• F = 2m; Slope = 3 (base fare), Intercept = 2 (cost per mile)

• F = 3 + 2m; Slope = 2 (cost per mile), Intercept = 3 (base fare)

• F = 5 + 2m; Slope = 2 (cost per mile), Intercept = 5 (base fare)