Suppose that the number of bugs in a rainforest is growing exponentially. There were 2880 bugs after 3 weeks and 5120 bugs after 5 weeks.

1) Find the population growth rate r.

2)How many bugs were there initially?

3)Write an equation that models the number of bugs, n, with the respect to the number of weeks and use it to determine how long it will take for the population of bugs to grow to 10000.