Slope and Y-Intercept in Real-Life Linear Problems

1. A car rental company charges $30 for the first day and $20 for each additional day. If you rent a car for 3 days, what is the total cost? Identify the slope and calculate the y-intercept.

• Total cost is $70, slope is 20, y-intercept is 30.

• Total cost is $60, slope is 30, y-intercept is 20.

• Total cost is $80, slope is 10, y-intercept is 40.

• Total cost is $50, slope is 25, y-intercept is 15.

2. A gardener is planting flowers in a straight line. If he plants 5 flowers at the 2-meter mark and 15 flowers at the 6-meter mark, what is the slope of the line representing the number of flowers planted? What is the y-intercept?

• Slope: 0, Y-intercept: 2

• Slope: 2.5, Y-intercept: 0

• Slope: 1.5, Y-intercept: 5

• Slope: 3, Y-intercept: 1

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3. A delivery service charges a flat fee of $5 plus $2 per mile. If a delivery is made for 10 miles, what is the total cost? Determine the slope and y-intercept of the cost function.

• Total cost: $15; Slope: 2; Y-intercept: 10

• Total cost: $20; Slope: 3; Y-intercept: 10

• Total cost: $25; Slope: 2; Y-intercept: 5

• Total cost: $30; Slope: 1; Y-intercept: 0

4. A school is selling tickets for a play. The first 50 tickets are sold for $10 each, and the next 50 tickets are sold for $15 each. What is the slope of the revenue line? What is the y-intercept?

• Slope: 10, y-intercept: 50

• {"slope": 5, "y-intercept": 0}

• Slope: 15, y-intercept: 10

• Slope: 0, y-intercept: 5

5. A bike shop sells bikes for $200 each and offers a discount of $50 for every bike after the first one. If you buy 3 bikes, what is the total cost? Identify the slope and calculate the y-intercept.

• Total cost: $400, Slope: -70, Y-intercept: 200

• Total cost: $450, Slope: -30, Y-intercept: 150

• Total cost: $500, Slope: -50, Y-intercept: 200

• Total cost: $600, Slope: -50, Y-intercept: 250

6. A phone plan costs $40 per month plus $0.10 per text message. If a customer sends 100 messages in a month, what is the total cost? Find the slope and y-intercept of the cost function.

• Total cost: $50; Slope: 0.10; Y-intercept: 40

• Total cost: $60; Slope: 0.20; Y-intercept: 30

• Total cost: $55; Slope: 0.15; Y-intercept: 35

• Total cost: $45; Slope: 0.05; Y-intercept: 50

7. A fitness center charges a $50 registration fee and $30 per month. If a member has been enrolled for 6 months, what is the total cost? Determine the slope and calculate the y-intercept.

• Total cost is $200; slope is $25; y-intercept is $45.

• Total cost is $250; slope is $35; y-intercept is $60.

• Total cost is $180; slope is $20; y-intercept is $40.

• Total cost is $230; slope is $30; y-intercept is $50.

9. A concert venue sells tickets for $25 each and has a service fee of $5. If a group buys 4 tickets, what is the total cost? What is the slope and y-intercept of the ticket cost function?

• Total cost: $105; Slope: 25; Y-intercept: 5

• Total cost: $90; Slope: 30; Y-intercept: 0

• Total cost: $100; Slope: 20; Y-intercept: 10

• Total cost: $110; Slope: 25; Y-intercept: 15

10. A bookstore sells novels for $15 each and offers a discount of $5 for every additional book after the first. If you buy 4 books, what is the total cost? Identify the slope and calculate the y-intercept.

• Total cost for 4 books is $50. Slope: -5, y-intercept: 10.

• Total cost for 4 books is $30. Slope: -2.5, y-intercept: 15.

• Total cost for 4 books is $60. Slope: -10, y-intercept: 20.

• Total cost for 4 books is $45. Slope: -5, y-intercept: 15.