.Find an explicit formula for the beetle population after n weeks. Pn = ______ After how many weeks will the beetle population reach 219? ________ weeks

Question

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9, and the population after 6 weeks is P6=69

.Find an explicit formula for the beetle population after n weeks.

Pn = ______

 After how many weeks will the beetle population reach 219? ________ weeks

Answer 1

po = 9

p6 = 69

that's 60 new ones in 6 years

or 10 per year increase

slope = 10, y intercept = 9

y = 10x + 9

or

pn = 10n + 9

219 = 10n +9

10n = 219-9=210

n = 210/10 = 21 weeks to reach 219 beetles