The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.
<h3>How to determine the behavior of an exponential function</h3>
<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> 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 <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> 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 <em>decay</em>.
The <em>percentage</em> rate of decrease is determined by the following formula:
100 × (1-0.31) = 100 × 0.69 = 69 %
The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.
To learn more on exponential functions: brainly.com/question/11487261
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Answer:
The answer is
Step-by-step explanation:
We have the points (2000,91) and (5000,82)
Then
Answer:
Step-by-step explanation:
It is easy just: step 1: connect all dots then add your numbers up
4.30A+5.70B=855.40
A+B=168
A=168-B
substitute
4.30(168-B)+5.70B=855.40
4.30*168-4.30B+5.70B=855.40
1.40B =855-4.30*168
1.40B=132.60
B=132.60/1.40= 94.7 pounds≈95 pouds
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