Word Problems on Slope: Solve & Create Cost Tables

1. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m). Create a table showing the total cost for 0, 50, 100, and 150 miles.

• 50 miles: 70

• 100 miles: 90

• {"0 miles": 50, "50 miles": 60, "100 miles": 70, "150 miles": 80}

• 0 miles: 50

• 150 miles: 100

2. A gardener is planting flowers in a garden. The cost of planting is $30 plus $5 for each flower. Write the equation for the total cost (C) in terms of the number of flowers (f). Create a table for 0, 2, 4, and 6 flowers.

• { "0": 30, "2": 40, "4": 50, "6": 60 }

• { "0": 30, "2": 50, "4": 70, "6": 90 }

• { "0": 25, "2": 35, "4": 45, "6": 65 }

• { "0": 30, "2": 35, "4": 45, "6": 55 }

3. A phone plan costs $25 per month plus $0.10 per text message sent. Write the equation for the total monthly cost (C) in terms of the number of text messages (t). Create a table for 0, 100, 200, and 300 messages.

• $30 for 100 messages

• | Text Messages (t) | Total Cost (C) | |-------------------|----------------| | 0 | $25 | | 100 | $35 | | 200 | $45 | | 300 | $55 |

• $20 for 0 messages

• $50 for 300 messages

4. A gym charges a membership fee of $40 plus $10 for each personal training session. Write the equation for the total cost (C) in terms of the number of sessions (s). Create a table for 0, 1, 2, and 3 sessions.

• $30 for 0 sessions

• | Sessions (s) | Total Cost (C) | |--------------|----------------| | 0 | $40 | | 1 | $50 | | 2 | $60 | | 3 | $70 |

• $40 for 1 session

• $80 for 3 sessions

5. A school is selling tickets for a play. Each ticket costs $8, and there is a $50 fee for the venue. Write the equation for the total revenue (R) in terms of the number of tickets sold (t). Create a table for 0, 10, 20, and 30 tickets.

• The revenue values for t = 0, 10, 20, 30 are -50, 20, 100, and 180 respectively.

• The revenue values for t = 0, 10, 20, 30 are -50, 10, 70, and 150 respectively.

• The revenue values for t = 0, 10, 20, 30 are 0, 80, 160, and 240 respectively.

• The revenue values for t = 0, 10, 20, 30 are -50, 30, 110, and 190 respectively.

6. A delivery service charges a base fee of $15 plus $2 for each mile driven. Write the equation for the total cost (C) in terms of miles driven (m). Create a table for 0, 5, 10, and 15 miles.

• Miles Driven (m) | Total Cost (C) 0 | $10

• Miles Driven (m) | Total Cost (C) 0 | $15 5 | $25 10 | $35 15 | $45

• Miles Driven (m) | Total Cost (C) 5 | $30

• Miles Driven (m) | Total Cost (C) 10 | $50

7. 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) in terms of the number of cupcakes (c). Create a table for 0, 5, 10, and 15 cupcakes.

• Total cost table: {"0 cupcakes": 20, "5 cupcakes": 35, "10 cupcakes": 50, "15 cupcakes": 80}

• Total cost table: {"0 cupcakes": 20, "5 cupcakes": 30, "10 cupcakes": 45, "15 cupcakes": 60}

• Total cost table: {"0 cupcakes": 25, "5 cupcakes": 40, "10 cupcakes": 55, "15 cupcakes": 70}

• Total cost table: {"0 cupcakes": 20, "5 cupcakes": 35, "10 cupcakes": 50, "15 cupcakes": 65}

8. A subscription service charges $10 per month plus $1 for each additional movie rented. Write the equation for the total cost (C) in terms of the number of movies rented (m). Create a table for 0, 3, 6, and 9 movies.

• C = 5 + 1 * m

• C = 10 + 1 * m; Table: {0: 10, 3: 13, 6: 16, 9: 19}

• C = 10 + 0.5 * m

• C = 10 + 2 * m

9. A taxi service charges a flat rate of $5 plus $2 for each mile driven. Write the equation for the total fare (F) in terms of miles driven (m). Create a table for 0, 2, 4, and 6 miles.

• Miles Driven (m) | Total Fare (F) 0 | $5 2 | $9 4 | $13 6 | $17

• $10 plus $3 per mile

• $4 plus $1.50 per mile

• $5 for any distance

10. A concert venue charges $100 for renting the space plus $15 for each hour of use. Write the equation for the total cost (C) in terms of hours used (h). Create a table for 0, 2, 4, and 6 hours.

• C = 100 + 10h; Table: {0: 100, 2: 120, 4: 140, 6: 160}

• C = 100 + 20h; Table: {0: 100, 2: 140, 4: 180, 6: 220}

• C = 50 + 15h; Table: {0: 50, 2: 80, 4: 110, 6: 140}

• C = 100 + 15h; Table: {0: 100, 2: 130, 4: 160, 6: 190}