1. Constant rate of change

2. InputOutput 4-2 6 80 101 2 2 2 1 1 1 Put the output # Input # 1212 1212 1212 The constant rate of change is ½

3. timewater 2134 4118 6102 886 +2 -16 2 -16 2 -16 2 The constant rate of change is -8 gallons per minute or that 8 gallons of water is draining from the tank each minute The number of gallons of water remaining in a fish tank over time is shown in the table below. Is the relationship between the number of gallons and the number of minutes linear? If so, determine the constant rate of change. If not, explain why.

4. Determine if there is a proportional linear relationship between the number of hours you rent a cotton candy machine and the total cost of renting the machine. Hours rented 036912 Cost ($)2540557085 +3 +15 The rate of change is constant And is equal to 15/3 or 5 This is a linear relationship

5. To determine if the two quantities are proportional you must check the relationship between quantities Hours rented 036912 Cost ($)2540557085 40 3 55 6 70 9 85 12 ≈ 13.3 ≈ 9.2 ≈ 7.8 ≈ 7.1 Since the ratios are not the same, this is NOT a proportional relationship

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7. InputOutput 4-2 6 80 101 Put the The constant rate of change is

8. timewater 2134 4118 6102 886 The constant rate of change is ___ gallons per minute or that ___ gallons of water is draining from the tank each minute The number of gallons of water remaining in a fish tank over time is shown in the table below. Is the relationship between the number of gallons and the number of minutes linear? If so, determine the constant rate of change. If not, explain why.

9. Determine if there is a proportional linear relationship between the number of hours you rent a cotton candy machine and the total cost of renting the machine. Hours rented 036912 Cost ($)2540557085 The rate of change is __________ And is equal to ______ or _____ This is a ___________relationship

10. To determine if the two quantities are proportional you must check the relationship between quantities Hours rented 036912 Cost ($)2540557085 ≈ ≈ ≈ ≈ Since the ratios are _________the same, this is ______a proportional relationship