Determine if the situation is discrete or continuous.
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Question 1
1.
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 .
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Question 2
2.
Bacteria steadily grows on an old abandoned house, doubling the amount of bacteria each day. The relationship between days and bacteria is:
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Question 3
3.
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 .
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Question 4
4.
In an Indian folk tale, a young girl is rewarded with 1 grain of rice on the first day, 2 grains of rice on day 2, and 4 grains of rice on day 3. This pattern of rewarding the girl with rice continues for each of 30 days.
Required
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Question 5
5.
Sam owns a movie theater and wants to track the amount of money his theater has made after selling each ticket. The table shows the relationship between tickets sold and profit.
Problem #6-8
Use this situation:
The Lake of Distress is contaminated with flesh-eating bacteria! Initially, the lake contained 4 square feet of bacteria. This area is tripling every hour. Assume that the relationship between hours and square feet of bacteria is continuous.
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Question 6
6.
Is this situation linear or exponential? Why?
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Question 7
7.
The explicit equation for the relationship is...
Problem #9-11
Use this situation:
There is a discrete relationship between the number of workers and the number of bricks layed on a wall.
Use this information to answer problems 9–11
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Question 8
8.
Is the relationship between workers and bricks laid linear or exponential? Justify how you know.
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Question 9
9.
What is the domain for the function that models the relationship between the workers and bricks laid.