Question

NEED HELP ASAPPP!!! Drag each scenario to show whether the final result will be greater than the original

Answer 1

Answer:

Greater than the original = 2, 4

Less than the original = 5

Same as the original = 1, 3

Step-by-step explanation:

Let the original value be x.

1. A $30 increase followed by a $30 decrease.

New value $=x+30-30=x$, it is same as original value.

2. A 20% decrease followed by a 40% increase.

Afer 20% decrease.

New value $=x-\dfrac{20}{100}x=x-0.2x=0.8x$

Afer 40% increase.

New value $=0.8x+\dfrac{40}{100}(0.8x)=0.8x+0.32x=1.12x$, it is greater than original value.

Similarly check the other values.

3. A 100% increase followed by a 50% decrease.

New value $=x+\dfrac{100}{100}x-\dfrac{50}{100}(x+x)=x$, it is same as original value.

4. A 75% increase followed by a 33% decrease

New value $=x+\dfrac{75}{100}x-\dfrac{33}{100}(x+0.75x)=1.1725x$, it is greater than the original value.

5. 55% decrease followed by a 25% increase

New value $=x-\dfrac{55}{100}x+\dfrac{25}{100}(x-0.55x)=0.5625x$, it is less than the original value.

Therefore, Greater than the original = 2, 4, Less than the original = 5, Same as the original = 1, 3 .