Question

A population of insects triples every week. The number of insects is modeled by the expression 5400*3^w , where w is the number of weeks after the population was measured. Evaluate the expression for w= -2 , w= 0 , and w= 1. What does each value of the expression represent in the solution .

Please , I really need your help !

Answer 1

For w = 0, we just replace the w with a 0.

5400 x 3 ^ 0 = 5400 x 1 = 5,400

We can keep plugging and chugging through this.

5400 x 3 ^ -2 = 5400 x 0.11111111 = 600

5400 x 3 ^ 1 = 5400 x 3 = 16,200