Solve the problem. At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute. QA Inspector Efficiency Inspector efficiency, % defective cookies eliminated 100 90 80 70 60 (9,98) 10 11 12 13 14 15 Belt speed, feet per minute (18,60) 16 17 18 a. Find an equation of the line through the given points Write the equation in slope-intercept form Round the slope and v-intercent each to 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve
the problem.
At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior
to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed
of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged
product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute.
QA Inspector Efficiency
Inspector efficiency,
% defective cookies eliminated
100
90
60
|(9.98)
50-
10
11
12 13 14 15
Belt speed, feet per minute
(18,60)
16 17 18
a. Find an equation of the line through the given points. Write the equation in slope-intercept form. Round the slope and y-intercept each to 1
decimal place.
b. Use the equation from part (b) to predict the efficiency of the inspectors at a belt speed of 15 feet per minute. Round to the nearest percent.
Transcribed Image Text:Solve the problem. At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute. QA Inspector Efficiency Inspector efficiency, % defective cookies eliminated 100 90 60 |(9.98) 50- 10 11 12 13 14 15 Belt speed, feet per minute (18,60) 16 17 18 a. Find an equation of the line through the given points. Write the equation in slope-intercept form. Round the slope and y-intercept each to 1 decimal place. b. Use the equation from part (b) to predict the efficiency of the inspectors at a belt speed of 15 feet per minute. Round to the nearest percent.
Select one:
O a. a. y = 136.0 + 4.2x
b. 73% at a belt speed of 15 feet per minute.
O b. a. y = 136.0 + 4.2x
b. 66.5% at a belt speed of 15 feet per minute.
O c. a. y = 136.0 - 4.2x
b. 73% at a belt speed of 15 feet per minute.
O d. a. y = 136.0 - 4.2x
b. 66.5% at a belt speed of 15 feet per minute.
Transcribed Image Text:Select one: O a. a. y = 136.0 + 4.2x b. 73% at a belt speed of 15 feet per minute. O b. a. y = 136.0 + 4.2x b. 66.5% at a belt speed of 15 feet per minute. O c. a. y = 136.0 - 4.2x b. 73% at a belt speed of 15 feet per minute. O d. a. y = 136.0 - 4.2x b. 66.5% at a belt speed of 15 feet per minute.
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