Predict: Imagine a small pond with just 4 water lilies. Guess how many lilies will be in the pond just a month later:
function would be most suitable to model these data.
a =
and b =
4 days:
5 days:
10 days: ⇒ 10 15 days: ⇒ 15 20 days: ⇒ 33 25 days: ⇒ 51 30 days: ⇒ 79
15 days:
20 days:
25 days:
30 days:
The data show that the population of lily pads has growth rate.
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.
0 days: ⇒ 4 1 day: ⇒ 4 2 days: ⇒ 5 3 days: ⇒ 6 4 days: ⇒ 6 5 days: ⇒ 7
In terms of the water lily population change, the value 3.915 represents:
The value 3.915 represents the initial number of water lilies (the y-intercept), which is approximately 4. The value 1.106 represents the growth factor, indicating that the population grows by about 10.6% each day.
Which two equations below could you solve to find D, the number of days it takes the water lily population to double?
Day 0: plants Day 7: plants Did the water lilies double? Day 10: plants Day 17: plants Did the water lilies double?
1 day:
The value 1.106 represents:
The value 3.915 is the starting amount of water lilies, and 1.106 is the daily growth factor, meaning the population increases by 10.6% daily.
Did you find these answers helpful?