Question

what is the percent of change from 8 to 2? 300% decrease 300% increase 75% decrease 75% increase

Explanation:

Step1: Find the amount of change

The original value is 8, and the new value is 2. The amount of change is $8 - 2 = 6$. Since the new value is less than the original value, it is a decrease.

Step2: Calculate the percent of change

The formula for percent of change is $\frac{\text{Amount of Change}}{\text{Original Value}} \times 100\%$. Substituting the values, we get $\frac{6}{8} \times 100\% = 0.75 \times 100\% = 75\%$ decrease. Wait, no, wait. Wait, original is 8, new is 2. Wait, the change is $2 - 8 = -6$, but the percent change formula is $\frac{\text{New - Original}}{\text{Original}} \times 100\%$. So $\frac{2 - 8}{8} \times 100\% = \frac{-6}{8} \times 100\% = -75\%$. The negative sign indicates a decrease, so it's a 75% decrease? Wait, no, wait, maybe I made a mistake. Wait, 8 to 2: the difference is 6, which is 75% of 8? Wait, 8 0.75 = 6, so 8 - 6 = 2. So the percent decrease is 75%? Wait, but let's check again. Wait, the formula for percent decrease is $\frac{\text{Original - New}}{\text{Original}} \times 100\%$. So $\frac{8 - 2}{8} \times 100\% = \frac{6}{8} \times 100\% = 75\%$. So it's a 75% decrease. Wait, but wait, the options have 300% decrease and 75% decrease. Wait, maybe I messed up. Wait, no, 8 to 2: 2 is 25% of 8 (since 8 0.25 = 2). So the decrease is 100% - 25% = 75%? Wait, no, percent change is (new - original)/original 100. So (2 - 8)/8 100 = (-6/8)*100 = -75%, so 75% decrease. So the correct option is 75% decrease. Wait, but let me check again. Wait, 8 to 2: the change is 6, which is 75% of 8? Wait, 6/8 = 0.75, so 75% decrease. So the correct option is 75% decrease. Wait, but the first option is 300% decrease. Wait, maybe I made a mistake. Wait, no, 8 to 2: 2 is 1/4 of 8, so the decrease is 3/4, which is 75%. So the correct answer is 75% decrease.

Answer:

75% decrease (the option: 75% decrease)