A 16-inch candle is lit and burns at a constant rate of 0.9 inches per hour. Let t represent the number of hours since the candle was lit, and suppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit. a. Write a function formula for f in terms of t. Preview b. What is the domain of f relative to this context? Enter your answer as an interval. Preview c. What is the range of f relative to this context? Enter your answer as an interval. Preview

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 11CYU
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A 16-inch candle is lit and burns at a constant rate of 0.9 inches per hour. Let t represent the number of hours since the candle was lit, and
suppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit.
a. Write a function formula for f in terms of t.
Preview
b. What is the domain of f relative to this context? Enter your answer as an interval.
Preview
c. What is the range of f relative to this context? Enter your answer as an interval.
Preview
d. Solve f(t) = 3.8 for t.
t =
Preview
e. What does your solution in part (d) represent in this context? Select all that apply.
-How long it takes for the candle to burn out.
How many hours since the candle was lit when it is 3.8 inches long.
-The length of the candle (in inches) 3.8 hours after it was lit.
Transcribed Image Text:A 16-inch candle is lit and burns at a constant rate of 0.9 inches per hour. Let t represent the number of hours since the candle was lit, and suppose f is a function such that f(t) represents the remaining length of the candle (in inches) t hours after it was lit. a. Write a function formula for f in terms of t. Preview b. What is the domain of f relative to this context? Enter your answer as an interval. Preview c. What is the range of f relative to this context? Enter your answer as an interval. Preview d. Solve f(t) = 3.8 for t. t = Preview e. What does your solution in part (d) represent in this context? Select all that apply. -How long it takes for the candle to burn out. How many hours since the candle was lit when it is 3.8 inches long. -The length of the candle (in inches) 3.8 hours after it was lit.
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