Question

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Check all that apply. The amount of change is different for the percent increase and the percent decrease. The ratio of the percent increase is not the same as the percent decrease. The ratio for the percent increase has a smaller denominator than the percent decrease. The ratio for the percent increase has a different numerator than the percent decrease. The ratio of the percent increase is the same as the percent decrease. The original amount for the percent increase is different from the original amount for the percent decrease.

Answer 1

When increasing your multiplying x>1 because 45 times 1 is 45 to get 75 you multiply by approximately 1.65

when you decreasing your multiplying x<1 because 72 times 0.6 is 45.

Answer 2

Answer:

B and F

Step-by-step explanation:

To find : Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45?

Since, In the first case original amount = 45

So, the increasing percentage when the original amount increases to 75,

$\frac{75-45}{45}\times100=\frac{30}{45}\times100=\frac{200}{3}\%$

In second case original amount = 75

So the decreasing percentage when the original amount decreases to 45,

$\frac{75-45}{75}\times100=\frac{30}{75}\times100=\frac{40}{1}\%$

Thus, We found that the ratio of the percent increase is not the same as the percent decrease ( because, $\frac{200}{3}\neq\frac{40}{1}$ )

Also, The original amount of the present increase is different from the original amount for the percent  decrease. ( Because, $75\neq45$ )

Therefore,

B-The ratio of the percent increase is not the same as the percent decrease.

F- The original amount for the percent increase is different from the original amount for the percent decrease.

Statements B and F were correct.

Option B and F is correct only.