Question

A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate. Use the data table to make a prediction involving exponential growth or decay. Predict the insect population at the end of week 11. Round to the nearest whole number.

Answer 1

every week it grows by a factor of \(\frac{30}{20}=\frac{3}{2}\)

Answer 2

at the end of week eleven it will be
\[20\times \left(\frac{3}{2}\right)^{11}\]

Answer 3

1729?

Answer 4

@satellite73

Answer 5

if you round i get \(1730\)