If 0.15 percent of x/5 is equal to 2.25, then x =

Rationale

x equals 7,500.

To solve the equation, we first convert the percentage to a decimal and set up the equation: 0.0015 * (x/5) = 2.25. By isolating x, we find that x equals 7,500.

A (75) YOUR ANSWER

Choosing 75 implies that when substituted into the expression, the result would equal 2.25. However, substituting 75 yields 0.0015 * (75/5) = 0.225, which does not satisfy the equation.

B (300) YOUR ANSWER

If x were 300, substituting it into the expression gives us 0.0015 * (300/5) = 0.9. This result is also incorrect as it does not equal 2.25.

C (750) YOUR ANSWER

Substituting 750 into the equation results in 0.0015 * (750/5) = 2.25. Although this calculation matches the target value, it is essential to note that it does not yield the correct answer for x in the context of the original problem.

D (3,000) YOUR ANSWER

Using 3,000 gives us 0.0015 * (3,000/5) = 9. This outcome is significantly higher than 2.25, indicating that 3,000 is not the correct value for x.

E (7,500) CORRECT

When we substitute 7,500, we calculate 0.0015 * (7,500/5) = 2.25, which correctly satisfies the equation as given in the problem statement.

Conclusion

The correct value of x that fulfills the equation is 7,500, as shown through the calculations. All other options fail to satisfy the condition set by the problem, confirming that 7,500 is indeed the solution. This demonstrates the importance of careful algebraic manipulation and verification in solving equations.

If 0.15 percent of x/5 is equal to 2.25, then x =

x equals 7,500.

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