The exponential function y = 290 · 0.31ˣ reports a decay as its growth rate is less than 1 and greater than 0. Its percentage rate of decrease is equal to 69 %.

<h3>How to determine the behavior of an exponential function</h3>

Exponential functions are trascendental functions, these are, functions that cannot be described algebraically. The simplest form of exponential functions is shown below:

y = a · bˣ (1)

Where:

a - Initial value
b - Growth rate
x - Independent variable.
y - Dependent variable.

Please notice that this kind of exponential function reports a growth for b > 1 and decay for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a decay.

The percentage rate of decrease is determined by the following formula:

100 × (1-0.31) = 100 × 0.69 = 69 %

The percentage rate of decrease related to the exponential function is 69 %.

To learn more on exponential functions: brainly.com/question/11487261

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7 0

2 years ago

A bank balance is more than $35. Julia wants to write an inequality for the bank balance. Which inequality symbol should she use

Sindrei [870]

The inequality x>35 represents the problem

more than is: >

3 0

3 years ago

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