f(x)=0.145x2The 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
Q. f(x)=0.145x2The 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
Identify Function and Value: Identify the given function and the value to be substituted.The function given is f(x)=0.145x2, 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 x is 40 meters per second.
Substitute Given Value: Substitute the given value into the function.We substitute x=40 into the function f(x)=0.145x2 to calculate the kinetic energy.f(40)=0.145×(40)2
Perform Calculation: Perform the calculation. f(40)=0.145×1600
Multiply Coefficient: Multiply the coefficient by the square of the speed. f(40)=0.145×1600=232
Verify Result: Verify the result.The 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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