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 first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
Answer:
p = 7/2 or 3.5
Step-by-step explanation:
-4p + 9 = -5
-4p = -14 (subtracted 9 from both sides)
p = -14/-4 = 7/2
Answer:$1.25 per bagel
Step-by-step explanation:
5/4=1.25
