Solve the Problem $t$ Minutes After the Pool Has Started to Drain Is

question 40

Multiple Choice

Solve the problem.
-The number of gallons of water in a swimming pool $t$ minutes after the pool has started to drain is $Q ( t ) = 50 ( 20 - x ) ^ { 2 }$ . How fast is the water running out at the end of 11 minutes?

• A) \(450 \mathrm { gal } / \mathrm { min }\)
• B) \(4050 \mathrm { gal } / \mathrm { min }\)
• C) \(2025 \mathrm { gal } / \mathrm { min }\)
• D) \(900 \mathrm { gal } / \mathrm { min }\)

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Definitions:

Coefficient Of Correlation

A statistical measure that calculates the strength of the relationship between the relative movements of two variables.

Stronger Correlation

Indicates a more pronounced relationship between two variables, often implied by a correlation coefficient closer to -1 or 1.

Least Squares Regression

A statistical method that minimizes the sum of the squares of the differences between observed and predicted values, used for fitting a linear model to data.

Slope

The measure of steepness or the degree of inclination of a line, representing the ratio of the vertical and horizontal changes between two points on the line.