Question 15

x is 1

To solve the proportion 15:1000::x:100, we can set up the equation 15/1000 = x/100. By cross-multiplying and simplifying, we find that x equals 1.

A) 1.5

This option is incorrect because if we substitute 1.5 into the equation, we get 15/1000 = 1.5/100, which does not hold true. The left side simplifies to 0.015, while the right side simplifies to 0.015, indicating a misunderstanding of the proportion.

B) 2

This option is also incorrect. Substituting 2 into the equation gives us 15/1000 = 2/100. When simplified, the left side remains 0.015, while the right side simplifies to 0.02, which are not equal.

C) 1

This is the correct answer, as substituting 1 into the equation results in 15/1000 = 1/100. Both sides simplify to 0.015, confirming that the proportion holds true.

D) 1.2

This option is incorrect as well. If we substitute 1.2 into the equation, we have 15/1000 = 1.2/100. The left side simplifies to 0.015, while the right side simplifies to 0.012, which do not match.

Conclusion

The correct answer is 1, as it maintains the equality in the proportion 15:1000::x:100. All other options fail to satisfy the mathematical relationship defined by the proportion, proving that they do not represent the correct value of x.