$p(x)=2.1 x^{2}$ $\newline$ The function models $p$ , the cost in dollars of the floor tiles needed to cover a square area with a side length of $x$ feet. Which of the following statements is the best interpretation of the ordered pair $(10,210)$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $210$ floor tiles are needed to cover a square area with a side length of $10$ feet. $\newline$ (B) The cost of the floor tiles needed to cover a square area with a side length of $10$ feet is $210$ dollars. $\newline$ (C) The cost of the floor tiles needed to cover an area of $10$ square feet is $210$ dollars. $\newline$ (D) The cost of the floor tiles needed to cover an area of $210$ square feet is $10$ dollars.

Full solution

p(x)=2.1 x^{2}

\newline

The function models

p

, the cost in dollars of the floor tiles needed to cover a square area with a side length of

x

feet. Which of the following statements is the best interpretation of the ordered pair

(10,210)

\newline

Choose

1

answer:

\newline

(A)

210

floor tiles are needed to cover a square area with a side length of

10

feet.

\newline

(B) The cost of the floor tiles needed to cover a square area with a side length of

10

feet is

210

dollars.

\newline

10

square feet is

210

dollars.

\newline

(D) The cost of the floor tiles needed to cover an area of

210

square feet is

10

dollars.

Question Prompt: Question prompt: What does the ordered pair $(10,210)$ represent in the context of the function $p(x)=2.1x^{2}$ ?
Plug-in and Calculation: Plug in the value of $x$ from the ordered pair $(10,210)$ into the function $p(x)$ to check if it gives us $210$ . $\newline$ $p(10) = 2.1 \times (10)^2$ $\newline$ $p(10) = 2.1 \times 100$ $\newline$ $p(10) = 210$
Interpretation: Interpret the result of the calculation in the context of the problem. $\newline$ Since $p(x)$ represents the cost in dollars, the ordered pair $(10,210)$ means that the cost to cover a square area with a side length of $10$ feet is $210$ dollars.