Question

PLEASE HELP!

Answer 1

The time taken for the population of the pig to reach 1000 will be almost four years.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Six guinea pigs are released in an area with no natural predators.

The guinea pig population quadruples every year.

Write a function P that represents the guinea pig population at a given time T measured in years.

Then the function will be

$\rm P = 6 (4)^T$

Then the inverse function of P will be

$\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}$

Then the time taken for the population of the pig to reach 1000 will be

$\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years$

More about the function link is given below.

brainly.com/question/5245372

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