SOLUTION: A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po =3, and the population after 5 weeks is P5 =23.
Find the explicit
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-> SOLUTION: A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po =3, and the population after 5 weeks is P5 =23.
Find the explicit
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Question 1175031: A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po =3, and the population after 5 weeks is P5 =23.
Find the explicit formula for the beetle population after n weeks.
Pn =
After how many weeks will the beetle population reach 99? Answer by ikleyn(52830) (Show Source):
Arithmetic progression with the first term of 3.
The common difference is = = 4.
4 beetles are added each week.
The general formula after n weeks is
Pn = 3 + 4n.
It will reach 99 when
Pn = 99 = 3 + 4n
99 - 3 = 4n
96 = 4n
n = 96/4 = 24. ANSWER
