Continuous and Discrete Linear and Exponential Functions

Sally has 100 golf balls in a container. Every hour, she removes 3 balls to take with her to the putting green. The relationship between hours and golf balls in the container is…

• Discrete

• Continuous

Bacteria steadily grow on an old abandoned house, doubling the amount of bacteria each day. The relationship between days and bacteria is…

• Discrete

• Continuous

Water flows down the Mississippi river at about 1.2 miles per hour

(true fact!!). The relationship between hours and miles the water has traveled is…

• Discrete

• Continuous

A geometric sequence with a first term of 2 and constant ratio of 4

• Discrete

• Continuous

Sam owns a movie theater and wants to track the amount of money his theater has made after selling each ticket. The table below shows the relationship between tickets sold and profit

The relationship between tickets and profit is…

• Discrete

• Continuous

The Lake of Distress is contaminated with flesh-eating bacteria!! The lake started with only 4 square feet infected, but as time has gone on, the bacteria are growing by a factor of 3 every hour. Assume that the relationship between hours and square feet of bacteria is continuous.

This relationship is …

• Linear

• Exponential

The Lake of Distress is contaminated with flesh-eating bacteria!! The lake started with only 4 square feet infected, but as time has gone on, the bacteria are growing by a factor of 3 every hour. Assume that the relationship between hours and square feet of bacteria is continuous.

The relationship is …

• A sequence because there is a pattern of multiplying by 3 every hour

• A sequence because there is a pattern of adding 3 every hour

• Not a sequence because there is no pattern

• Not a sequence because it is continuous

What is the DOMAIN of the function in set notation?

• {x | x ∈ N}

• {x | x ∈ Z, x ≥ 0}

• {x | x ∈ Q, x ≥ 0}

• {x | x ∈ R, x ≥ 0}

The Lake of Distress is contaminated with flesh-eating bacteria!! The lake started with only 4 square feet infected, but as time has gone on, the bacteria are growing by a factor of 3 every hour. Assume that the relationship between hours and square feet of bacteria is continuous.

Which of the following functions describes the relationship above?

A discrete relationship is shown in the table between the number of workers on the job and the number of bricks placed on the wall.

This relationship is …

• Linear

• Exponential