1. The function g relates the distance that the tip of the minute hand travels in one minute to the length of the minute hand, x. g(x) = x 30

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. The function \( g \) relates the distance that the tip of the minute hand travels in one minute to the length of the minute hand, \( x \).

\[
g(x) = \frac{\pi}{30} x
\]

This equation demonstrates how the length of the minute hand is proportional to the distance traveled by its tip in one minute. The factor \(\frac{\pi}{30}\) converts the length of the minute hand into the arc length covered in one minute on a clock face.
Transcribed Image Text:1. The function \( g \) relates the distance that the tip of the minute hand travels in one minute to the length of the minute hand, \( x \). \[ g(x) = \frac{\pi}{30} x \] This equation demonstrates how the length of the minute hand is proportional to the distance traveled by its tip in one minute. The factor \(\frac{\pi}{30}\) converts the length of the minute hand into the arc length covered in one minute on a clock face.
Expert Solution
Step 1

This is a problem of application of mathematics. Here length function is given for minute hand which travels in the one minute.

Here we will plot the graph of the distance travelled versus length of the minute hand.

Function is,

g(x) = Pi/30 * x

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