To determine which statement is true, we'd need to analyze the provided table of values. However, as the table has not been included in your message, I'll explain how to evaluate the statements based on typical characteristics of tables of values representing different types of growth.
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Initial Value: This is the value of the output when the input (usually represented on the x-axis) is zero. If the table shows an output of 0 when the input is 0, then the initial value is 0.
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Growth Factor: This refers to the factor by which the output increases for each increment in input. A growth factor of 3 indicates that for each unit increase in input, the output is multiplied by 3.
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Output Doubling: If the output doubles for every increase in the input, that would typically represent exponential growth. You would see the output values multiplied by 2 for every step up in input.
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Linear Growth: If the table shows a constant increase in the output for each increment in input (the same difference between consecutive outputs), then it represents linear growth.
To analyze the statements:
- If the output values do not include 0 when the input is 0, the initial value is not 0.
- If the output increases by a factor of 3 for each successive input, then the growth factor is indeed 3.
- If the output values double (like 1, 2, 4, 8, etc.) for every increase in input, then the output would be doubling.
- If there's a constant addition or subtraction for each increase in input (for example, increasing by 2 for every increase in input), then it represents linear growth.
If you can provide the actual values from the table, I could help you determine which of the statements is true.