Answer
When w=-2, the population is 600 insects. The value of 600 when w=-2 shows that the population size of insects two weeks before they reached 5400 was 600.
When w=0, the population is 5400 insects. The value of 5400 when w=0 shows that the initial size of population is 5400 insects.
When w=1, the population is 16200 insects. The value of 16200 when w=1 shows that the population size of insects one week after being tripled was 16200.
Work Step by Step
The function is p(w) = 5400$\times$$3^{w}$
When w=-2
p(w) = 5400$\times$$3^{w}$ = 5400$\times$$3^{-2}$ = $\frac{5400}{3^{2}}$ = $\frac{5400}{9}$ = 600
When w=0
p(w) = 5400$\times$$3^{w}$ = 5400$\times$$3^{0}$ = 5400$\times$1 = 5400
When w=1
p(w) = 5400$\times$$3^{w}$ = 5400$\times$$3^{1}$ = 5400$\times$3 = 16200
