The population of raccoons has been increasing in the bayside area. the equation r(x)= 100(1.2)^x can be
used to model its growth where x represents the number of months since the population was last counted.

a) explain what the 100 and 1.2 represents in this problem

b) determine the population of raccoons in 6 months

c) when will the population be 1540?

A) 100 is the initial raccoon population. 1.2 is the rate of growth (growing 20% every month)

b) 100 * (1.2)^6

≈ 298 raccoons

c) 1540 = 100 * (1.2)^x

Divide by 100

15.4 = 1.2^x

x = log(15.4)/log(1.2)

≈ 15 months

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.