Exploring Linear Equations: Slope & Intercept in Real Life

A school is planning a field trip and has a budget of $500. The cost per student is $25. Write a linear equation to represent the number of students (s) that can go on the trip based on the budget. What is the slope and y-intercept?

• The slope is -20 and the y-intercept is 400.

• The slope is -25 and the y-intercept is 500.

• The slope is 25 and the y-intercept is 0.

• The slope is -30 and the y-intercept is 600.

A gardener is planting flowers in rows. Each row can hold 5 flowers. Write a linear equation to represent the total number of flowers (f) in terms of the number of rows (r). What is the slope and y-intercept?

• f = 10r; slope = 10, y-intercept = 5

• f = 4r; slope = 4, y-intercept = 1

• f = 5r; slope = 5, y-intercept = 0

• f = 3r; slope = 3, y-intercept = 0

A phone company offers a plan that costs $30 per month plus $0.10 per text message. Write a linear equation for the total monthly cost (C) based on the number of text messages (t) sent. Identify the slope and y-intercept.

• C = 30 + 0.10t; slope = 0.10, y-intercept = 30

• C = 0.10t + 30t; slope = 0.10, y-intercept = 30

• C = 0.10 + 30t; slope = 30, y-intercept = 0.10

• C = 30t + 0.10; slope = 30, y-intercept = 0.10

A local gym charges a membership fee of $40 plus $5 for each class attended. Write a linear equation to represent the total cost (C) based on the number of classes (c) attended. What is the slope and y-intercept?

• C = 40 + 2c; Slope: 2, Y-intercept: 40

• C = 40 + 10c; Slope: 10, Y-intercept: 40

• C = 40 + 5c; Slope: 5, Y-intercept: 40

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

A bookstore sells notebooks for $3 each and has a fixed cost of $15 for supplies. Write a linear equation to represent the total cost (C) in terms of the number of notebooks (n) purchased. Identify the slope and y-intercept.

• C = 3n + 20; Slope: 3, Y-intercept: 20

• C = 5n + 10; Slope: 5, Y-intercept: 10

• C = 2n + 15; Slope: 2, Y-intercept: 15

• C = 3n + 15; Slope: 3, Y-intercept: 15

A taxi service charges a base fare of $2.50 plus $1.50 per mile. Write a linear equation to represent the total fare (F) based on the number of miles (m) traveled. What is the slope and y-intercept?

• F = 1.50 + 2.50m; Slope: 2.50, Y-intercept: 1.50

• F = 2.50 + 2.00m; Slope: 2.00, Y-intercept: 2.50

• F = 3.00 + 1.00m; Slope: 1.00, Y-intercept: 3.00

• F = 2.50 + 1.50m; Slope: 1.50, Y-intercept: 2.50

A concert venue has a seating capacity of 200. If tickets are sold for $10 each, write a linear equation to represent the total revenue (R) based on the number of tickets (t) sold. Identify the slope and y-intercept.

• R = 15t; slope = 15, y-intercept = 0

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

• R = 10t + 20; slope = 10, y-intercept = 20

• R = 5t; slope = 5, y-intercept = 0

A factory produces 100 toys per hour. Write a linear equation to represent the total number of toys (T) produced in terms of hours (h) worked. What is the slope and y-intercept?

• T = 200h; slope = 200, y-intercept = 0

• T = 50h; slope = 50, y-intercept = 10

• T = 100h + 50; slope = 100, y-intercept = 50

• T = 100h; slope = 100, y-intercept = 0

A delivery service charges a flat fee of $5 plus $2 for each package delivered. Write a linear equation to represent the total cost (C) based on the number of packages (p) delivered. Identify the slope and y-intercept.

• C = 5 + 2p; Slope: 2, Y-intercept: 5

• C = 5p + 2; Slope: 5, Y-intercept: 2

• C = 2p + 5; Slope: 5, Y-intercept: 2

• C = 2 + 5p; Slope: 2, Y-intercept: 2