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-A Faucet Is Used to Add Water to a Large

question 71

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-A faucet is used to add water to a large bottle that already contained some water. After it has been filling for 3 seconds, the gauge on the bottle indicates that it contains 14 ounces of water. After it has been filling for 10 seconds, the gauge indicates the bottle contains 42 ounces of water. Let $y$ be the amount of water in the bottle $x$ seconds after the faucet was turned on. Write a linear equation that models the amount of water in the bottle in terms of $x$ .

• A) \(y = - 4 x + 26\)
• B) \(y = 4 x + 32\)
• C) \(y = \frac { 1 } { 4 } x + \frac { 53 } { 4 }\)
• D) \(y = 4 x + 2\)

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Definitions:

Customer Specifications

Detailed descriptions or criteria provided by customers outlining the required characteristics, quality, and performance of products or services.

Process Control Chart

A graph used to study how a process changes over time, showing the performance of a process and guiding efforts to maintain its quality.

Capable Process

A process that is able to produce outputs within specified limits consistently, ensuring quality and efficiency.

Assignable Causes

Specific, identifiable factors that can cause variation in a process or system, distinct from random variation.