A population of 6 mice doubles every 4 weeks. When will this population reach 120 mice? Use an algebraic solving process.

usagirl007A 2021-02-05 Answered
A population of 6 mice doubles every 4 weeks. When will this population reach 120 mice? Use an algebraic solving process.
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Expert Answer

Yusuf Keller
Answered 2021-02-06 Author has 90 answers

Step 1 Given, A population of 6 mice doubles every 4 weeks. We have to find when population reach 120 mice Step 2 Now making the table of data Population of mice(y)612244896192no.ofweeks(x)048121620 Using this data, modeling the equation between the Population of mice (y) and no. of weeks(x) So, the modeled equation is y=62x/4 Now we want y=120,then x=? Substituting y=120 in the y=62x/4 120=62x/4
2x/4=120/6
2x/4=20 Taking logarithm both sides ln2x/4=ln20
x/4ln2=ln20 (lnMP=plnM)
x=420ln2
x=17.3 So, it takes 17.3 weeks to reach the population of mice 120

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Jeffrey Jordon
Answered 2021-10-27 Author has 2262 answers

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