By what percent is 4.5 x 10^5 greater than 9 x 10^4?

Explanation

To determine by what percent 4.5 x 105 is greater than 9 x 104, first calculate the difference between the two numbers:Difference = 4.5 x 105 - 9 x 104 = 3.6 x 105.Next, express this difference as a percentage of the original value (9 x 104):Percent increase = (Difference / Original value) x 100%= (3.6 x 105 / 9 x 104) x 100%= 4 x 100%= 400%Thus, the correct answer is Option B: 400%. Other options are incorrect because they either underestimate or overestimate the percentage increase.