the function f(x)=18000(0.7)^x represents the penguin population on an island x years after it was first studied.what was the original population of the penguins on island?​

the function fx1800007x represents the penguin population on an island x years after it was first studiedwhat was the original population of the penguins on isl class=

Respuesta :

Answer:

1800

Step-by-step explanation:

The original population occurs when time (i.e x) is zero.

hence we substitute x = 0 into the function

Original population, f(0),

= 1800 [tex](0.7)^{0}[/tex] .......... recall anything raised to power of zero is 1

= 1800 (1)

= 1800

The original population of the penguins on island be, 1800.

The correct option is (c)

What is function?

A function is defined as a relation between a set of inputs having one output each. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given: f(x)=18000[tex](0.7)^{x}[/tex]

The original population will occurs when time is zero.

So, put x = 0 into the function f(x),

we have,

f(0)= 1800[tex](0.7)^{0}[/tex]

f(0)= 1800*1

f(0)=1800

Hence, the original population of the penguins on island is 1800.

Learn more about function here:

https://brainly.com/question/12431044

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