5. If 6% of x = 2.4, then x = ?
Answer: C
x = 40
To find x, we can set up the equation 0.06x = 2.4. By dividing both sides by 0.06, we determine that x equals 40.
A) 4
Option A is incorrect because if x were 4, then 6% of 4 would be 0.24, not 2.4. This does not satisfy the equation given in the question.
B) 0.144
Option B is incorrect as well. If x were 0.144, then 6% of 0.144 would be only 0.00864, which is far less than 2.4 and does not meet the equation's requirement.
C) 40
Option C is correct because if we substitute 40 into the equation, 6% of 40 is 2.4. This satisfies the conditions presented in the question.
D) 1.44
Option D is incorrect. If x were 1.44, then 6% of 1.44 would be 0.0864, which is significantly less than 2.4, thereby not fulfilling the equation.
Conclusion
The correct answer is 40, as it is the only value that satisfies the equation 6% of x = 2.4. All other options fail to meet the criteria set by the question, demonstrating that they do not yield the correct percentage when substituted into the equation.