Question

Ughh , anyone know how to do this or what the answer is

Answer 1

1730

Explanation:

The exponential function is of the form

y = a ×
`b^(n)`

where y is the insect population and n the number of weeks

a and b have to be found by using values from the table.

Using (0, 20), then

20 = a ×
`b^(0)` ⇒ a = 20

Using (1, 30), then

30 = 20 ×
`b^(1)` ⇒ b =
`(30)/(20)` = 1.5

Hence

y = 20 ×
`1.5^(n)` ← exponential function

When n = 11

y = 20 ×
`1.5^(11)` ≈ 1730 ( nearest whole number )