Music: The frequency (in hertz) of a note played on a piano is a function of the position of the key that produces the note. The position of some piano keys and the frequencies of the notes created by the keys are shown below. Use regression to find an exponential model for the frequency of piano notes shown. What is the frequency of the note created an octave (5 black notes) above the note labeled 20? Key 13 15 10 18 Frequency (im hertz) 29.14 32.70 36.71 41.20 46.25 51.91 58.27 65.41 73.42 82.41 The exponential model is in the form y = a(b) where a = Number and b= Number (round to 4 decimal places) The frequency of the notes created by the key 28 is Number Hertz. (Round the answer to 2 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.8: Analyzing Functions With Successive Differences
Problem 34HP
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Music: The frequency (in hertz) of a note played on a piano is a function of the position of the key that produces the note. The position of some piano keys
and the frequencies of the notes created by the keys are shown below. Use regression to find an exponential model for the frequency of piano notes shown.
What is the frequency of the note created an octave (5 black notes) above the note labeled 20?
12
Key
Frequency
(in hertz)
29.14
32.70 36.71 41.20
46.25 51.91 58.27
65.41 73.42 82.41
The exponential model is in the form y = a(b) where a = Number
and b= Number
(round to 4 decimal places)
The frequency of the notes created by the key 28 is Number
Hertz. (Round the answer to 2 decimal places.)
Transcribed Image Text:edit graph on desmos Music: The frequency (in hertz) of a note played on a piano is a function of the position of the key that produces the note. The position of some piano keys and the frequencies of the notes created by the keys are shown below. Use regression to find an exponential model for the frequency of piano notes shown. What is the frequency of the note created an octave (5 black notes) above the note labeled 20? 12 Key Frequency (in hertz) 29.14 32.70 36.71 41.20 46.25 51.91 58.27 65.41 73.42 82.41 The exponential model is in the form y = a(b) where a = Number and b= Number (round to 4 decimal places) The frequency of the notes created by the key 28 is Number Hertz. (Round the answer to 2 decimal places.)
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