Question

try a few examples to verify that the doubling time is indeed 7 days.

day 0: 4 plants
day 7: 8 plants
did the water lilies double? yes
day 10: 10 plants
day 17: 22 plants
did the water lilies double? approximately

the slider only goes up to day 30, but this pond can hold up to 400 water lilies. estimate the day that the pond will be full. day

Explanation:

Formulate the exponential growth model

Using the Exponential Growth Calculation knowledge point

$$ N(t) = N_0 \cdot 2^{\frac{t}{T_d}} $$

$$
LATEXBLOCK0
$$

Set up the equation for the full pond

Using the Exponential Growth Calculation knowledge point

$$
LATEXBLOCK1
$$

Solve for the day \(t\)

Using the Exponential Growth Calculation knowledge point

$$
LATEXBLOCK2
$$

Estimate the integer day

Using the Exponential Growth Calculation knowledge point

$$
LATEXBLOCK3
$$

Answer:

The slider only goes up to day 30, but this pond can hold up to 400 water lilies. Estimate the day that the pond will be full. Day <blank>47</blank>