If 0.05x = 5000, what is the value of x?

Rationale

x equals 100000.

To solve the equation 0.05x = 5000, we can isolate x by dividing both sides by 0.05, yielding the result of 100000. This calculation demonstrates the direct relationship between the coefficient and the variable in the equation.

A (100) YOUR ANSWER

If x were 100, then 0.05 times 100 equals 5, not 5000. This value is far too low and does not satisfy the equation, confirming that x cannot be 100.

B (1000) YOUR ANSWER

With x equal to 1000, the calculation yields 0.05 times 1000, which equals 50. This is still significantly less than 5000, indicating that 1000 is not a viable solution for the equation.

C (10000) YOUR ANSWER

If x were 10000, then multiplying 0.05 by 10000 results in 500. Although closer to 5000, it remains insufficient, affirming that 10000 does not satisfy the original equation.

D (100000) CORRECT

Dividing 5000 by 0.05 results in 100000. This calculation confirms that when x is 100000, the equation holds true, as 0.05 times 100000 equals 5000. Therefore, this choice is correct.

Conclusion

The equation 0.05x = 5000 requires isolating x to find its value. The only correct solution derived from the calculations is 100000, as all other options yield results that do not satisfy the equation. Understanding how to manipulate the equation allows for accurate determination of x, which is essential in solving similar algebraic equations.

If 0.05x = 5000, what is the value of x?

x equals 100000.

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