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. 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?

. 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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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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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