Equations from Real-Life Scenarios: Slope & Intercept Analysis

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 y-intercept.

• C = 30 + 5c; Slope: 5, Y-intercept: 30

• C = 30 + 10c; Slope: 10, Y-intercept: 30

• C = 30c + 5; Slope: 30, Y-intercept: 5

• C = 5 + 30c; Slope: 30, Y-intercept: 5

A phone plan costs $25 per month plus $0.10 for each text message sent. Create an equation for the total cost (C) based on the number of text messages (t). What do the slope and y-intercept represent in this context?

• C = 25 + 0.10t; Slope: $0.10 (cost per text), Y-intercept: $25 (base cost)

• C = 0.10 + 25t; Slope: $25 (cost per text), Y-intercept: $0.10 (base cost)

• C = 25t + 0.10; Slope: $25 (base cost), Y-intercept: $0.10 (cost per text)

• C = 0.10t; Slope: $0.10 (cost per text), Y-intercept: $0 (base cost)

A local bakery sells cupcakes for $3 each and has a fixed cost of $50 for supplies. Write an equation for the total revenue (R) based on the number of cupcakes sold (c). What is the slope and y-intercept?

• R = 5c; slope = 5, y-intercept = 50

• R = 3c; slope = 3, y-intercept = 0

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

• R = 2c; slope = 2, y-intercept = 10

A taxi service charges a base fare of $2.50 and $0.50 for each mile driven. Write the equation for the total fare (F) based on the miles driven (m). What do the slope and y-intercept indicate?

• F = 2.50 + 0.50m

• F = 2.00 + 0.75m

• F = 2.50 - 0.50m

• F = 0.50 + 2.50m

A school is selling tickets for a play at $10 each, with a fixed cost of $200 for the venue. Write an equation for the total revenue (R) based on the number of tickets sold (t). What is the slope and y-intercept?

• R = 200 + 10t; slope = 10, y-intercept = 200

• R = 10t + 200; slope = 10, y-intercept = 200

• R = 10t - 200; slope = 10, y-intercept = -200

• R = 10t; slope = 10, y-intercept = 0

A delivery service charges a flat fee of $5 plus $0.25 per mile. Write the equation for the total cost (C) based on the miles driven (m). What do the slope and y-intercept represent?

• C = 5 + 0.25m; Slope: $0.25 (cost per mile), Y-intercept: $5 (flat fee)

• C = 0.25 + 5m; Slope: $5 (cost per mile), Y-intercept: $0.25 (flat fee)

• C = 5m + 0.25; Slope: $5 (flat fee), Y-intercept: $0.25 (cost per mile)

• C = 0.25m; Slope: $0.25 (cost per mile), Y-intercept: $0 (no flat fee)

A concert venue has a fixed cost of $500 and charges $15 per ticket sold. Write an equation for the total revenue (R) based on the number of tickets sold (t). Identify the slope and y-intercept.

• R = 10t - 500; slope = 10, y-intercept = -500

• R = 15t + 500; slope = 15, y-intercept = 500

• R = 15t - 500; slope = 15, y-intercept = -500

• R = 500t + 15; slope = 500, y-intercept = 15

A farmer sells apples for $2 each and has a fixed cost of $100 for production. Write an equation for the total revenue (R) based on the number of apples sold (a). What do the slope and y-intercept represent?

• R = 2a

• R = 100a

• R = a/2

• R = 2a + 100

A subscription service charges $10 per month plus a one-time fee of $50. Write an equation for the total cost (C) based on the number of months (m) subscribed. What is the slope and y-intercept?

• C = 10m + 50; Slope: 10, Y-intercept: 50

• C = 5m + 50; Slope: 5, Y-intercept: 50

• C = 15m + 50; Slope: 15, Y-intercept: 50

• C = 10m + 100; Slope: 10, Y-intercept: 100