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Suppose a population of 140 crickets doubles in size every month. The function f(x) = 140*2* gives the population after x months. How many crickets will there be after 2 years?

Suppose A Population Of 140 Crickets Doubles In Size Every Month The Function Fx 1402 Gives The Population After X Months How Many Crickets Will There Be After class=

Answer :

[tex]f(x)\text{ = }2348810240\text{ crickets (option D)}[/tex]

Explanation:

[tex]\begin{gathered} \text{The function:} \\ f(x)\text{ = 140}\times2^x \\ \text{where x = number of months} \end{gathered}[/tex][tex]\begin{gathered} x\text{ =2 years} \\ 12\text{ months = 1 year} \\ 2\text{ years = 2(12) = 24 months} \end{gathered}[/tex][tex]\begin{gathered} f(x)\text{ = 140 }\times2^{24} \\ f(x)\text{ = 140 }\times\text{ 16777216} \\ f(x)\text{ = }2.34881024\text{ }\times10^9 \\ f(x)\text{ = }2348810240\text{ crickets (option D)} \end{gathered}[/tex]

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