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a population of insects increases at a rate of 1.5% per day about how long will it take to double A)2.5 days b) 5.0 days c) 46.6 days or d) 66.7 days

Respuesta :

D) 66.7 days
Because .015 (1.5%) multiplied by 66.7 is equal to 1.0005 or approximately 100% which would be double the population.

We can use population formula

[tex] P(t)=P_0(1+r)^{t} [/tex]

we are given

interest rate is 1.5% per day

so,

[tex] r=0.015 [/tex]

now, we can plug values

[tex] P(t)=P_0(1+0.015)^{t} [/tex]

[tex] P(t)=P_0(1.015)^{t} [/tex]

we are given

P(t)=2Po

we can plug it

[tex] 2P_0=P_0(1.015)^{t} [/tex]

we can solve for t

[tex] 2=(1.015)^{t} [/tex]

[tex] t=46.55 [/tex]

so,

number of days is 46.5..........Answer


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