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p(x)=2.1x^(2)
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) ?
Choose 1 answer:
(A) 210 floor tiles are needed to cover a square area with a side length of 10 feet.
(B) The cost of the floor tiles needed to cover a square area with a side length of 10 feet is 210 dollars.
(C) The cost of the floor tiles needed to cover an area of 10 square feet is 210 dollars.
(D) The cost of the floor tiles needed to cover an area of 210 square feet is 10 dollars.

p(x)=2.1x2 p(x)=2.1 x^{2} \newlineThe function models p p , the cost in dollars of the floor tiles needed to cover a square area with a side length of x x feet. Which of the following statements is the best interpretation of the ordered pair (10,210) (10,210) ?\newlineChoose 11 answer:\newline(A) 210210 floor tiles are needed to cover a square area with a side length of 1010 feet.\newline(B) The cost of the floor tiles needed to cover a square area with a side length of 1010 feet is 210210 dollars.\newline(C) The cost of the floor tiles needed to cover an area of 1010 square feet is 210210 dollars.\newline(D) The cost of the floor tiles needed to cover an area of 210210 square feet is 1010 dollars.

Full solution

Q. p(x)=2.1x2 p(x)=2.1 x^{2} \newlineThe function models p p , the cost in dollars of the floor tiles needed to cover a square area with a side length of x x feet. Which of the following statements is the best interpretation of the ordered pair (10,210) (10,210) ?\newlineChoose 11 answer:\newline(A) 210210 floor tiles are needed to cover a square area with a side length of 1010 feet.\newline(B) The cost of the floor tiles needed to cover a square area with a side length of 1010 feet is 210210 dollars.\newline(C) The cost of the floor tiles needed to cover an area of 1010 square feet is 210210 dollars.\newline(D) The cost of the floor tiles needed to cover an area of 210210 square feet is 1010 dollars.
  1. Question Prompt: Question prompt: What does the ordered pair (10,210)(10,210) represent in the context of the function p(x)=2.1x2p(x)=2.1x^{2}?
  2. Plug-in and Calculation: Plug in the value of xx from the ordered pair (10,210)(10,210) into the function p(x)p(x) to check if it gives us 210210.\newlinep(10)=2.1×(10)2p(10) = 2.1 \times (10)^2\newlinep(10)=2.1×100p(10) = 2.1 \times 100\newlinep(10)=210p(10) = 210
  3. Interpretation: Interpret the result of the calculation in the context of the problem.\newlineSince p(x)p(x) represents the cost in dollars, the ordered pair (10,210)(10,210) means that the cost to cover a square area with a side length of 1010 feet is 210210 dollars.

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