. A post office has a machine that can sort letters by zip code much more quickly than a human. The machine scans the mail looking for zip codes, but is not always able to locate them. That means that every few seconds, one or more letters cannot be scanned and still need to be sorted by hand. UNITED STAT POS There is a linear relationship between the number of minutes that the machine is working (x) and the typical number of letters that cannot be scanned and must be sorted by hand (y). A postal worker starts the machine at the beginning of her shift. She notices that after 15 minutes, 80 pieces of mail could not be scanned and must be hand-sorted. She notices that after 45 minutes, 170 pieces of mail could not be scanned. a. Determine the slope of this function. b. Interpret the slope using the problem context. c. Determine a function equation. d. What is the y-intercept of the function?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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289
A post office has a machine that can sort
letters by zip code much more quickly than a
human. The machine scans the mail looking
for zip codes, but is not always able to locate
them. That means that every few seconds, one
or more letters cannot be scanned and still
need to be sorted by hand.
7.
UNITED STAT
POS
There is a linear relationship between the
number of minutes that the machine is working
(x) and the typical number of letters that cannot
be scanned and must be sorted by hand (y).
A postal worker starts the machine at the beginning of her shift. She notices that after 15 minutes,
80 pieces of mail could not be scanned and must be hand-sorted. She notices that after 45
minutes, 170 pieces of mail could not be scanned.
a. Determine the slope of this function.
b. Interpret the slope using the problem context.
c. Determine a function equation.
d. What is the y-intercept of the function?
e. Interpret the y-intercept using the problem context.
Transcribed Image Text:289 A post office has a machine that can sort letters by zip code much more quickly than a human. The machine scans the mail looking for zip codes, but is not always able to locate them. That means that every few seconds, one or more letters cannot be scanned and still need to be sorted by hand. 7. UNITED STAT POS There is a linear relationship between the number of minutes that the machine is working (x) and the typical number of letters that cannot be scanned and must be sorted by hand (y). A postal worker starts the machine at the beginning of her shift. She notices that after 15 minutes, 80 pieces of mail could not be scanned and must be hand-sorted. She notices that after 45 minutes, 170 pieces of mail could not be scanned. a. Determine the slope of this function. b. Interpret the slope using the problem context. c. Determine a function equation. d. What is the y-intercept of the function? e. Interpret the y-intercept using the problem context.
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