Question text not available
Question text not available
The data show that the population of lily pads has growth rate.
function would be most suitable to model these data.
The 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.
The 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. a = and b =
15.111 and 1.488
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.
Which two equations below could you solve to find D, the number of days it takes the water lily population to double?
Try a few examples to verify that the doubling time is indeed 7 days.
Which solution method did you use?LogarithmsGraphing y = 3.915(1.106)x and tracingGraphing y = 3.915(1.106)x and y = 400, then finding the x-value of the intersection
10 days: 15 days: 20 days: 25 days: 30 days:
32768
and b =
1.106
Day 7: plants
8
By the 46th day, there are 400 water lilies in the pond. The estimate you madeclose to 46 (or exactly right) because it was estimated well.too low because the quick exponential growth was not accounted for.too high because the exponential growth was overestimated.
10 days: 15 days: 20 days: 25 days: 30 days:
1048576
Did the water lilies double?
10 days: 15 days: 20 days: 25 days: 30 days:
33554432
Day 10: plants
10
10 days: 15 days: 20 days: 25 days: 30 days:
1073741824
Day 17: plants
22
Did the water lilies double?
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