Constant rate of change

Input Output

4 -2

6 -1

8 0

10 1

2

2

2

1

1

1

Put the output # Input #

121212

The constant rate of change is ½

time water

2 134

4 118

6 102

8 86

+2

+2

+2

-16

-16

-16

-16 2-16 2-16 2

The constant rate of change is -8 gallons per minute or that8 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.

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 0 3 6 9 12

Cost ($) 25 40 55 70 85

+3 +3 +3+3

+15 +15 +15+15The rate of change is constantAnd is equal to 15/3 or 5This is a linear relationship

To determine if the two quantities are proportional you must check the relationship between quantities

Hours rented 0 3 6 9 12

Cost ($) 25 40 55 70 85

403

556

709

8512

≈ 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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