9. If 0.15 percent of x/5 is equal to 2.25, then x =
Answer: E
x equals 7,500.
To find the value of x, we solve the equation derived from the problem statement. If 0.15 percent of x/5 is equal to 2.25, we can set up the equation as 0.0015 * (x/5) = 2.25, leading to the conclusion that x equals 7,500.
A) 75
Option A is incorrect because substituting x = 75 into the equation results in 0.0015 * (75/5) = 0.0015 * 15 = 0.0225, which is not equal to 2.25.
B) 300
Option B is also incorrect. If we substitute x = 300, we get 0.0015 * (300/5) = 0.0015 * 60 = 0.09, which does not equal 2.25.
C) 750
Option C is not the correct answer either. By substituting x = 750, we find that 0.0015 * (750/5) = 0.0015 * 150 = 0.225, which is still not equal to 2.25.
D) 3,000
Option D is incorrect as well. When substituting x = 3,000 into the equation, we calculate 0.0015 * (3,000/5) = 0.0015 * 600 = 0.9, which does not equal 2.25.
E) 7,500
Option E is the correct answer. Substituting x = 7,500 into the equation gives us 0.0015 * (7,500/5) = 0.0015 * 1,500 = 2.25, which satisfies the original condition.
Conclusion
The correct answer, 7,500, is validated through accurate substitution into the original equation, yielding the required equality. All other options fail to satisfy the equation, confirming that they are incorrect and highlighting the accuracy of option E.