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k(x)=5x^(2) The function models k, the kinetic energy in joules of a silver carp with a mass of 10 kilograms as it swims at a speed of x meters per second. Which of the following statements is the best interpretation of the ordered pair (2.4,28.8) ? Choose 1 answer: (A) A silver carp can swim 28.8 meters in 2.4 seconds. (B) The maximum kinetic energy of a 2.4-kilogram silver carp is 28.8 joules. (C) The kinetic energy of a 10-kilogram silver carp is 2.4 joules when it is swimming at a speed of 28.8 meters per second. (D) The kinetic energy of a 10-kilogram silver carp is 28.8 joules when it is swimming at a speed of 2.4 meters per second.

k(x)=5x2 k(x)=5 x^{2} \newlineThe function models k k , the kinetic energy in joules of a silver carp with a mass of 1010 kilograms as it swims at a speed of x x meters per second. Which of the following statements is the best interpretation of the ordered pair (2.4,28.8) (2.4,28.8) ?\newlineChoose 11 answer:\newline(A) A silver carp can swim 2828.88 meters in 22.44 seconds.\newline(B) The maximum kinetic energy of a 22.44-kilogram silver carp is 2828.88 joules.\newline(C) The kinetic energy of a 1010-kilogram silver carp is 22.44 joules when it is swimming at a speed of 2828.88 meters per second.\newline(D) The kinetic energy of a 1010-kilogram silver carp is 2828.88 joules when it is swimming at a speed of 22.44 meters per second.

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Q. k(x)=5x2 k(x)=5 x^{2} \newlineThe function models k k , the kinetic energy in joules of a silver carp with a mass of 1010 kilograms as it swims at a speed of x x meters per second. Which of the following statements is the best interpretation of the ordered pair (2.4,28.8) (2.4,28.8) ?\newlineChoose 11 answer:\newline(A) A silver carp can swim 2828.88 meters in 22.44 seconds.\newline(B) The maximum kinetic energy of a 22.44-kilogram silver carp is 2828.88 joules.\newline(C) The kinetic energy of a 1010-kilogram silver carp is 22.44 joules when it is swimming at a speed of 2828.88 meters per second.\newline(D) The kinetic energy of a 1010-kilogram silver carp is 2828.88 joules when it is swimming at a speed of 22.44 meters per second.
  1. Understand Function k(x)k(x): Understand the function k(x)=5x2k(x)=5x^{2} and what it represents.\newlineThe function k(x)k(x) gives us the kinetic energy in joules of a silver carp with a mass of 1010 kilograms when it swims at a speed of xx meters per second. The variable xx represents the speed of the carp in meters per second, and k(x)k(x) represents the kinetic energy in joules.
  2. Interpret Ordered Pair: Interpret the ordered pair (2.4,28.8)(2.4, 28.8). The ordered pair (2.4,28.8)(2.4, 28.8) means that when xx (the speed of the carp in meters per second) is 2.42.4, k(x)k(x) (the kinetic energy in joules) is 28.828.8. This does not give us any information about the time it takes for the carp to swim a certain distance or the mass of the carp, only the relationship between its speed and kinetic energy.
  3. Evaluate k(x)k(x) at x=2.4x=2.4: Evaluate the function k(x)k(x) at x=2.4x=2.4 to verify the ordered pair.\newlinek(2.4)=5×(2.4)2k(2.4) = 5 \times (2.4)^2\newlinek(2.4)=5×5.76k(2.4) = 5 \times 5.76\newlinek(2.4)=28.8k(2.4) = 28.8 joules\newlineThis calculation confirms that the ordered pair (2.4,28.8)(2.4, 28.8) is correct for the given function.
  4. Match Ordered Pair with Interpretation: Match the ordered pair (2.4,28.8)(2.4, 28.8) with the correct interpretation.\newline(A) This option is incorrect because the function does not provide information about distance traveled over time.\newline(B) This option is incorrect because the mass of the carp is given as 1010 kilograms, not 2.42.4 kilograms.\newline(C) This option is incorrect because it reverses the values for speed and kinetic energy.\newline(D) This option is correct because it accurately describes the kinetic energy of a 1010-kilogram silver carp swimming at a speed of 2.42.4 meters per second.

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