Writing Linear Equations and Identifying Slopes in Real Life

A car rental company charges a flat fee of $50 plus $20 for each day you rent a car. Write the equation that represents the total cost (C) as a function of the number of days (d) you rent the car. What is the slope of the line?

• C = 20d; slope = 20

• C = 50 + 10d; slope = 10

• C = 50 + 30d; slope = 30

• C = 50 + 20d; slope = 20

A gardener is planting flowers in a straight line. If he plants 5 flowers every hour, write an equation to represent the number of flowers (F) planted after (h) hours. What does the slope represent in this context?

• F = 2h; the slope represents the time taken to plant each flower.

• F = 5h + 3; the slope represents the initial number of flowers planted.

• F = 5h; the slope represents the rate of flowers planted per hour.

• F = 10h; the slope represents the total number of flowers planted.

A local bakery sells cupcakes for $3 each and cookies for $2 each. If you buy a total of 10 items for $24, write an equation to represent the relationship between the number of cupcakes (c) and cookies (k). What is the slope of the line?

• -1

• 2

• 0

• 1

A school is planning a field trip. The cost per student is $15, and there is a one-time bus fee of $100. Write the equation for the total cost (T) as a function of the number of students (s). What is the slope of this line?

• The slope of the line is 100.

• The slope of the line is 0.

• The slope of the line is 5.

• The slope of the line is 15.

A bike rental shop charges a one-time fee of $10 plus $5 for each hour you rent a bike. Write the equation for the total cost (C) based on the number of hours (h) rented. What does the slope indicate?

• C = 5h; The slope indicates that the cost remains constant regardless of hours rented.

• C = 10 + 10h; The slope indicates that for each hour rented, the cost increases by $10.

• C = 10h; The slope indicates that the cost decreases by $5 for each hour rented.

• C = 10 + 5h; The slope indicates that for each hour rented, the cost increases by $5.

A fitness center charges a monthly membership fee of $30 and an additional $10 for each class attended. Write the equation for the total cost (C) based on the number of classes (c) attended. What is the slope of this line?

• 5

• 15

• 10

• 20

A taxi company charges a base fare of $2.50 plus $1.50 for each mile driven. Write the equation for the total fare (F) based on the number of miles (m) driven. What does the slope represent?

• F = 1.50m; the slope represents the distance driven.

• F = 1.50 + 2.50m; the slope represents the base fare.

• F = 2.50m + 1.50; the slope represents the total fare.

• F = 2.50 + 1.50m; the slope represents the cost per mile driven.

A concert venue sells tickets for $25 each and has a fixed cost of $500 for the event. Write the equation for the total revenue (R) based on the number of tickets (t) sold. What is the slope of this line?

• R = 500 + 25t; slope = 500

• R = 25t; slope = 25

• R = 25t + 500; slope = 500

• R = 20t; slope = 20

A bookstore has a special offer where each book costs $12, and there is a membership fee of $20. Write the equation for the total cost (C) based on the number of books (b) purchased. What does the slope indicate?

• C = 20 + 12b; the slope indicates the cost per additional book.

• C = 12b; the slope indicates the total number of books.

• C = 20b + 12; the slope indicates the membership fee.

• C = 12 + 20b; the slope indicates the total cost of all books.

A farmer sells apples for $1.50 each and has a fixed cost of $100 for his stall. Write the equation for the total revenue (R) based on the number of apples (a) sold. What is the slope of this line?

• R = 2a; slope = 2

• R = 1.00a; slope = 1.00

• R = 1.50a + 100; slope = 1.50

• R = 1.50a; slope = 1.50