Graphing and Writing Equations of Linear Relationships

1. A car travels at a constant speed of 60 miles per hour. Write an equation that represents the distance traveled (d) in terms of time (t) in hours. Graph the relationship.

• d = 60t^2

• d = 60t

• d = 30t

• d = 120t

2. A gardener plants 5 trees every week. If the number of trees planted is represented by t and the weeks by w, write an equation for this scenario and graph it.

• t = 5 + w

• t = w/5

• t = 10w

• t = 5w

3. A water tank fills at a constant rate of 3 gallons per minute. If the tank starts empty, write an equation for the total gallons (g) in terms of time (m) in minutes and graph the relationship.

• g = 10m

• g = 3m

• g = 3m + 2

• g = 5m

4. A bike rental shop charges a flat fee of $10 plus $2 for every hour rented. Write an equation for the total cost (C) in terms of hours (h) and graph it.

• C = 10 - 2h

• C = 10 + 2h

• C = 2h - 10

• C = 10h + 2

5. A factory produces 150 toys every hour. Write an equation that models the total number of toys (T) produced after h hours and graph the linear relationship.

• T = 150h

• T = 150 + h

• T = 150h + 50

• T = 100h

6. A runner jogs at a constant pace of 4 miles per hour. Write an equation for the distance (d) in terms of time (t) and graph the relationship.

• d = 8t

• d = 4t^2

• d = 2t

• d = 4t

7. A cell phone plan costs $30 per month plus $0.10 per text message. Write an equation for the total cost (C) in terms of the number of text messages (m) and graph it.

• C = 30m + 0.10

• C = 30 + 0.20m

• C = 30 + 0.10m

• C = 30 + 0.05m

8. A train travels 80 miles in 2 hours. Write an equation that represents the distance (d) in terms of time (t) and graph the linear relationship.

• d = 80t

• d = 40t

• d = 60t

• d = 20t

9. A chef prepares 10 meals every hour. Write an equation for the total number of meals (M) prepared in terms of hours (h) and graph the relationship.

• M = 20h

• M = 10h

• M = 10h + 5

• M = 5h

10. A bookstore sells novels at a constant rate of $15 each. Write an equation for the total cost (C) in terms of the number of novels (n) and graph it.

• C = n + 15

• C = 20n

• C = 10n

• C = 15n