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It's the end of the summer, and Sandeep is draining his family's swimming pool. The function $y = -600x + 12,000$ represents the total number of gallons in the pool, $y$ , as a function of the number of hours the pool has been draining, $x$ . $\newline$ What is true about the function? $\newline$ Choices: $\newline$ (A)It is nonlinear because it decreases at a constant rate. $\newline$ (B)It is nonlinear because it is always decreasing. $\newline$ (C)It is linear because it decreases at a constant rate. $\newline$ (D)It is linear because it is always decreasing.

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Evaluate two-variable equations: word problems

Full solution

Q. It's the end of the summer, and Sandeep is draining his family's swimming pool. The function

y = -600x + 12,000

represents the total number of gallons in the pool,

y

, as a function of the number of hours the pool has been draining,

x

.

\newline

What is true about the function?

\newline

Choices:

\newline

(A)It is nonlinear because it decreases at a constant rate.

\newline

(B)It is nonlinear because it is always decreasing.

\newline

(C)It is linear because it decreases at a constant rate.

\newline

(D)It is linear because it is always decreasing.

Analyze Function Characteristics: Step $1$ : Analyze the function $y = -600x + 12,000$ to determine its characteristics.
Linearity Determination: Step $2$ : Determine if the function is linear or nonlinear.
Evaluate Choices: Step $3$ : Evaluate the choices given based on the function's characteristics.

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