The growth of a species of fish in a lake can be modeled by the function ƒ(x) = 500(1.10)x, where x is time in months since Janu

Question

2 months ago

10

ary 2019. What does the 500 represent?

1 answer:

Leona [12.6K] · Answer 1 · 2026-03-10T18:04:47+03:00

Answer:

$f(x) = 500(1.1)^x$

We need to determine what the number 500 signifies in this equation. Looking at the general form of an exponential function, we have:

$y= ab^x$

Where 'a' denotes the constant or initial amount, 'b' is the base, and 'x' is the independent variable (time)

In this specific situation, we have that:

$a = 500, b =1.1$

Here, 500 indicates the constant or the initial value for the function

Step-by-step explanation:

We have the following function presented:

$f(x) = 500(1.1)^x$

We need to ascertain what the value 500 represents in the equation. The standard arrangement for an exponential function is:

$y= ab^x$

Where 'a' stands for the constant or initial value, 'b' as the base, and 'x' signifies the independent variable (time)

In this particular example, we know that:

$a = 500, b =1.1$

So, 500 represents the constant or starting value for the function