A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let tt represent the number of hours since the candle was lit, and suppose ff is a function such that f(t)f(t) represents the remaining length of the candle (in inches) tt hours after it was lit. Write a function formula for f in terms of t. What is the domain of f relative to this context? Enter your answer as an interval. What is the range of f relative to this context? Enter your answer as an interval.
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A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let tt represent the number of hours since the candle was lit, and suppose ff is a function such that f(t)f(t) represents the remaining length of the candle (in inches) tt hours after it was lit.
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Write a function formula for f in terms of t.
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What is the domain of f relative to this context? Enter your answer as an interval.
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What is the range of f relative to this context? Enter your answer as an interval.
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Solve f(t)=6.4f for t.
t=t=
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What does your solution in part (d) represent in this context? Select all that apply.
- The length of the candle (in inches) 6.4 hours after it was lit.
- How many hours since the candle was lit when it is 6.4 inches long.
- How long it takes for the candle to burn out.
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