Question: The pond can hold 400 water lilies. By what day will the pond be full? Write and solve an equation.

The pond will be full by the end of day

Answer: 46

Question: Which solution method did you use?

Answer: Graphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection

C

Question: By the 46th day, there are 400 water lilies in the pond. The estimate you made

Answer: too low because the quick exponential growth was not accounted for.

B

Question: Drag the slider to see the number of water lilies in the pond each day. Collect the data and fill in the text boxes below.

Answer: 0 days: 4

1 day: 4

2 days: 5

3 days: 6

4 days: 6

5 days: 7

10 days: 10

15 days: 16

20 days: 30

25 days: 52

30 days: 79

Question: Your prediction on the previous page was

Answer: Way too low

Question: The data show that the population of lily pads has growth rate.

Answer: An increasing

Question: function would be most suitable to model these data.

Answer: An exponnetial

Question: e general form of an exponential function is y = abx. Use the regression calculator to find the values of a and b for the water lily population growth. Round to the nearest thousandth.

Answer: A= 3.915

B= 1.106

Question: The graph to the right shows what you should have gotten on the regression calculator. Check all statements below that accurately describe the regression equation.

Answer: B

The correlation coefficient of 0.996 indicates a strong exponential relationship.

Question: which two equations below could you solve to find D, the number of days it takes the water lily population to double?

Answer: B D