Problem 67 of 7
In the exponential expression 100000(1.015)^y for city population after y years, interpret the initial value 100000.
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connect leading coefficient to starting amount.
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Leading coefficient must represent amount when exponent is zero.
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Solution
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1. Set the exponent variable to zero.
2. The base to the zero power is 1, so the leading coefficient is the initial value.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Interpreting initial value as growth factor.