Due to conservation efforts, the gray wolf has been removed from the endangered species list. There are now 25,000 in the world, and the population is expected to grow by 15% yearly. Write an equation that models this scenario. Y = 25,000(1.85)x y = 25,000(0.15)x y = 25,000(0.85)x y = 25,000(1.15)x

Respuesta :

Answer:

y = (25000)(1 + 0.15)^x

Step-by-step explanation:

This model is identical to the Compound Amount model except for the names of the variables used:

A = P(1 + r)^t    becomes    y = (25000)(1 + 0.15)^x,

where 0.15 is the annual interes rate as a decimal fraction and x is the number of years elapsed.

The required expression for the wolf to be increased by 15% yearly is, number of wolf y = 25000(1.15)^x.


Wolf are increasing by 15% per year. Expression for the increase in number of wolf to be determine.


What is exponential function?

Exponential function is defined as the variable degree of certain values. i.e. y=e^x.


Here, wolf are increasing by 15% every year shows that wolf increasing exponentially. So the factor at which that the wolfs are increasing is 1+0.15 = 1.15.
Now,
y = number of wolfs, x = year
y = 25000 (1.15)^x

Thus, the required expression for the wolf to be increased by 15% yearly is, number of wolf y = 25000(1.15)^x.


Learn more about exponential function here:
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