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f(x)=0.145x^(2)
The function models 
f, the kinetic energy, in joules, of a baseball traveling at a speed of 
x meters per second. Based on the function, what is the kinetic energy, in joules, of a baseball traveling at a speed of 40 meters per second?
Choose 1 answer:
(A) 5.8
(B) 58
(C) 232
(D) 2,320

f(x)=0.145x2 f(x)=0.145 x^{2} \newlineThe function models f f , the kinetic energy, in joules, of a baseball traveling at a speed of x x meters per second. Based on the function, what is the kinetic energy, in joules, of a baseball traveling at a speed of 4040 meters per second?\newlineChoose 11 answer:\newline(A) 55.88\newline(B) 5858\newline(C) 232232\newline(D) 22,320320

Full solution

Q. f(x)=0.145x2 f(x)=0.145 x^{2} \newlineThe function models f f , the kinetic energy, in joules, of a baseball traveling at a speed of x x meters per second. Based on the function, what is the kinetic energy, in joules, of a baseball traveling at a speed of 4040 meters per second?\newlineChoose 11 answer:\newline(A) 55.88\newline(B) 5858\newline(C) 232232\newline(D) 22,320320
  1. Identify Function and Value: Identify the given function and the value to be substituted.\newlineThe function given is f(x)=0.145x2f(x) = 0.145x^2, which models the kinetic energy of a baseball in joules based on its speed in meters per second. We need to find the kinetic energy when the speed xx is 4040 meters per second.
  2. Substitute Given Value: Substitute the given value into the function.\newlineWe substitute x=40x = 40 into the function f(x)=0.145x2f(x) = 0.145x^2 to calculate the kinetic energy.\newlinef(40)=0.145×(40)2f(40) = 0.145 \times (40)^2
  3. Perform Calculation: Perform the calculation. f(40)=0.145×1600f(40) = 0.145 \times 1600
  4. Multiply Coefficient: Multiply the coefficient by the square of the speed. f(40)=0.145×1600=232f(40) = 0.145 \times 1600 = 232
  5. Verify Result: Verify the result.\newlineThe calculation seems correct, and the result is one of the given options, which suggests that no mathematical error has been made.

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