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# For each of the last 5 years, the population of a colony of

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Joined: 18 Apr 2015
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Kudos [?]: 2012 [1] , given: 8049

For each of the last 5 years, the population of a colony of [#permalink]  07 Nov 2019, 10:40
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100% (00:44) correct 0% (00:00) wrong based on 6 sessions
For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?

A. $$(5)(1.08 P^{-1})$$

B. $$(1.08)^{-5}P^{-1}$$

C. $$(1.08P)^{-5}$$

D. $$(1.08)^{-5}P$$

E. $$(1.08)^{-5}P^5$$
[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Kudos [?]: 917 [1] , given: 226

Re: For each of the last 5 years, the population of a colony of [#permalink]  08 Nov 2019, 06:44
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For each of the last 5 years, the population of a colony of beetles increased by 8 percent of the preceding year's population. If P represents the current population of the colony, which of the following best represents the population 5 years ago, in terms of P?

A. $$(5)(1.08 P^{-1})$$

B. $$(1.08)^{-5}P^{-1}$$

C. $$(1.08P)^{-5}$$

D. $$(1.08)^{-5}P$$

E. $$(1.08)^{-5}P^5$$

Here,

Let the population of beetles $$5$$ yrs ago = $$x$$

Each year there is an increase of $$8$$%

that means in $$5$$ yrs, total population = $$x * (1.08)^5$$ = Current age = $$P$$

Therefore $$x = (1.08)^{-5}P$$
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Re: For each of the last 5 years, the population of a colony of   [#permalink] 08 Nov 2019, 06:44
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