Question

Jay took a number, n, and increased it by 25%. Then, he doubled the resulting product. Which of the following is equivalent to these steps and would result in the same final number? A. Doubling the number and then decreasing the result by 25%. B. Increasing the number by 50%. C. Multiplying the number by 1.25. D. Multiplying the number by 2.5

Answer 1

Answer: Multiplying the number by 2.5

Step-by-step explanation:

Jay took a number, n, and increased it by 25%. The value gotten will be:

= n + (25% × n)

= n + (0.25 × n)

= n + 0.25n

= 1.25n

After that, Then, he doubled the resulting product. The value now gotten will be:

= 2 × 1.25n

= 2.50n

Therefore, the equivalent will be multiplying the number by 2.5. This will be:

= n × 2.5

= 2.5n

Therefore, it's thesame with the value gotten.

The correct option is D.