Find the equation of the exponential function represented by the table below: 0.2 1 0.1 2 0.05 3 0.025 Answer: y = Submit Answer attempt 1 out of 2
Unitary Method
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![### Find the equation of the exponential function represented by the table below:
| x | y |
|-----|-------|
| 0 | 0.2 |
| 1 | 0.1 |
| 2 | 0.05 |
| 3 | 0.025 |
**Answer:** \( y = \)
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_attempt 1 out of 2_
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In this task, you are required to determine the equation of an exponential function by analyzing the provided table of values. The table shows the values of \(x\) and their corresponding \(y\) values.
To find the equation, identify the pattern in the \( y \)-values as \( x \) increases, and then write the general form of the exponential function:
\[ y = ab^x \]
where \(a\) represents the initial value and \(b\) is the base of the exponential function which illustrates the rate of growth or decay.
Assess the values given at different \( x \)-points and use them to determine \(a\) and \(b\).
- Start by identifying \( a \), the value of \( y \) when \( x = 0 \).
- Next, determine the base \( b \) by examining the ratio of \( y \) values as \( x \) increments by 1.
Once you have deduced the values of \( a \) and \( b \), you'll be able to formulate and submit the equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ce901d6-1005-4fae-945e-8fe9887caefc%2F3947b028-756a-4c83-b306-9ac432e636f9%2Fjwqxfnn_processed.png&w=3840&q=75)
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