Final answer:
The correct proportion to find what number is 75% of 32 is d. 75/100 = x/32. By cross multiplying and solving for x, we find that x = (75 * 32) / 100, which simplifies to x = 24.
Step-by-step explanation:
The question asks to find out which proportion can be used to determine what number represents 75% of 32. To solve for the unknown number x, which is 75% of 32, we can use the proportion method. The correct proportion is 75/100 = x/32 because 75% as a fraction is 75/100, and we are trying to find the value of x that is 75% of 32. So, option d. 75/100 = x/32 is the correct one.
To solve the proportion, we can cross multiply. The equation then becomes 75 * 32 = 100 * x, and by dividing both sides by 100, we find the value for x.
Here's the calculation step-by-step:
- Write the proportion: 75/100 = x/32
- Cross multiply: 75 * 32 = 100 * x
- Solve for x: x = (75 * 32) / 100
- Calculate x: x = 2400 / 100
- Final answer: x = 24