Question

Which equation represents a population of 250 animals that decreases at an annual rate of 21%

Answer 1

Answer:

y= 250( 1-0.21)^x

Step-by-step explanation:

This represents exponential decay

Answer 2

The equation represents a population of 250 animals that decreases at an annual rate of 21% will be p = 250(0.79)$.^t$ The correct option is C.

What is an exponential function?

The mathematical expression f(x)=$e^t$ denotes the exponential function. The term typically refers to the positive-valued function of a real variable, unless otherwise specified.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that a population of 250 animals is decreasing at an annual rate of 21%.

p = a x b$.^t$

p = a x (1+r)$.^t$

p = 250 x (1+(-0.21))$.^t$

p = 250(0.79)$.^t$

Note that r = -0.21 is negative to indicate we have exponential decay.

Hence, the equation represents a population of 250 animals that decreases at an annual rate of 21% will be p = 250(0.79)$.^t$ The correct option is C.

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