Use function notation to represent each of the following:   the number of inches the candle burned during the time period from 2.2 hours to 4.7 hours since it was lit   the rule (algebraic expression) that defines how each value of the independent quantity corresponds with or is paired with the dependent quantity's value   how many times as long is the candle when it has been burning for 2 hours as compared to when it has been burning for 4 hours   the height of the candle measured in feet (units of 12 inches) instead of inches

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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  1. Use function notation to represent each of the following:

     

    1. the number of inches the candle burned during the time period from 2.2 hours to 4.7 hours since it was lit

       

    2. the rule (algebraic expression) that defines how each value of the independent quantity corresponds with or is paired with the dependent quantity's value

       

    3. how many times as long is the candle when it has been burning for 2 hours as compared to when it has been burning for 4 hours

       

    4. the height of the candle measured in feet (units of 12 inches) instead of inches

       

If g is a function that represents the remaining height of a 19 inch candle as a function of the number of hours, t, the candle has been burning at a
constant rate of 2.8 inches per hour.
a. Use function notation to represent each of the following:
i. the height of the candle when it has been burning for 4.1 hours
g(4.1)
Preview
ii. the number of inches the candle burned during the time period from 2.2 hours to 4.7 hours since it was lit
t(2.8)
Preview
iii. the height of the candle is 13 inches
g(t)=13
Preview
iv. the rule (algebraic expression) that defines how each value of the independent quantity corresponds with or is paired with the
dependent quantity's value
Preview
v. how many times as long is the candle when it has been burning for 2 hours as compared to when it has been burning for 4 hours
g(t2/4)
Preview
vi. the height of the candle measured in feet (units of 12 inches) instead of inches
g(t)=144
Preview
Transcribed Image Text:If g is a function that represents the remaining height of a 19 inch candle as a function of the number of hours, t, the candle has been burning at a constant rate of 2.8 inches per hour. a. Use function notation to represent each of the following: i. the height of the candle when it has been burning for 4.1 hours g(4.1) Preview ii. the number of inches the candle burned during the time period from 2.2 hours to 4.7 hours since it was lit t(2.8) Preview iii. the height of the candle is 13 inches g(t)=13 Preview iv. the rule (algebraic expression) that defines how each value of the independent quantity corresponds with or is paired with the dependent quantity's value Preview v. how many times as long is the candle when it has been burning for 2 hours as compared to when it has been burning for 4 hours g(t2/4) Preview vi. the height of the candle measured in feet (units of 12 inches) instead of inches g(t)=144 Preview
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