34. -/2.85 points juan manages an appliance store. in july, sales were $181,800. in august, sales were…

34. -/2.85 points juan manages an appliance store. in july, sales were $181,800. in august, sales were $131,805. what was the rate of change? that is, what was the percent increase or percent decrease?

34. -/2.85 points juan manages an appliance store. in july, sales were $181,800. in august, sales were $131,805. what was the rate of change? that is, what was the percent increase or percent decrease?

Answer

Explanation:

Step1: Calculate the difference in sales

Let $S_1 = 181800$ (July sales) and $S_2 = 131805$ (August sales). The difference $\Delta S=S_2 - S_1=131805 - 181800=- 49995$.

Step2: Calculate the percentage - change formula

The formula for percentage change is $\text{Percent Change}=\frac{\Delta S}{S_1}\times100%$. Substitute $\Delta S=-49995$ and $S_1 = 181800$ into the formula: $\text{Percent Change}=\frac{-49995}{181800}\times100%$.

Step3: Simplify the expression

$\frac{-49995}{181800}\times100%=\frac{-4999500}{181800}=- 27.5%$.

Answer:

$-27.5%$