Problem 73 of 7
Construct an exponential function from the input-output pairs 0, 16; 1, 24; 2, 36.
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Hidden until you reveal it.
compute common ratio over equal intervals.
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Pairs must determine a single unshifted exponential model over equal or inferable intervals.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Find the ratio over the input interval.
2. If the interval spans more than one step, take the matching root to get the one-step factor.
3. Use a point to solve for the initial value.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using the multi-step ratio as the one-step factor when input gap is greater than 1.