Solve the Problem $y = 136.0 - 4.2 x$ B $73 \%$

question 64

Multiple Choice

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.
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.

• A) a. \(y = 136.0 - 4.2 x\) b. \(73 \%\) at a belt speed of 15 feet per minute.
• B) a. \(y = 136.0 - 4.2 x\) b. \(66.5 \%\) at a belt speed of 15 feet per minute.
• C) a. \(y = 136.0 + 4.2 x\) b. \(66.5 \%\) at a belt speed of 15 feet per minute.
• D) a. \(y = 136.0 + 4.2 x\) b. \(73 \%\) at a belt speed of 15 feet per minute.

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Definitions:

Witch Trials

Legal proceedings and persecutions, most famously in Salem, Massachusetts in 1692, targeting individuals accused of witchcraft, often resulting in conviction and execution.

Small Farmers

Individuals or families that manage and operate smaller plots of land primarily for subsistence farming or local markets.

Tobacco Market

The global industry and trade of tobacco, including its cultivation, processing, distribution, and sale, historically significant for its role in the economic development of colonies in the Americas.

Dominion Of New England

Consolidation into a single colony of the New England colonies—and later New York and New Jersey—by royal governor Edmund Andros in 1686; dominion reverted to individual colonial governments three years later.