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Irina-Kira [14]
2 years ago
12

The population of a species of rabbit triples every year. This

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
3 0

Answer:

"4" represents that there are 4 rabbit in the beginning.

Step-by-step explanation:

Given that the population of a species of rabbit triples every year. This

can be modeled by function f\left(x\right)=4\left(3\right)^x and f(5) = 972.

Now we need to find about what does the 4 represent in the given function.

We know that exponential function is given by f\left(x\right)=a\left(b\right)^x. Where "a" represents the initial amount.

we have a=4 in given function f\left(x\right)=4\left(3\right)^x.

So that means "4" represents that there are 4 rabbit in the beginning.

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g(0.5) = 2 \\  \\ h(x) = g(x).f(x) \\  \therefore \: h(2) = g(2).f(2) \\  \therefore \: h(2) = 5 \times 2\\ \therefore \: h(2) = 10\\  \\ \\  j(x) = g(x) - f(x) \\  \therefore \: j(4) = g(4) - f(4) \\  \therefore \: j(4) = 9 - 8\\ \therefore \: j(4)  = 1\\  \\  \\

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