Subjects algebra

Percent Change

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Percent Change


1. Consider the water level change in Mosqueda reservoir. - Initial amount: $840$ cubic meters - Final amount: $798$ cubic meters 2. Calculate the difference in amount: $$\text{Difference} = \text{Final} - \text{Initial} = 798 - 840 = -42$$ Since the difference is negative, it indicates a decrease. 3. Calculate the percent of change: $$\text{Percent of Change} = \frac{\text{Difference}}{\text{Initial}} \times 100 = \frac{-42}{840} \times 100 = -5\%$$ So, the water level decreased by $5\%$. --- 4. Consider Rj’s daily allowance change. - Last year's allowance: $75$ - This year's allowance: $93$ 5. Calculate the difference: $$\text{Difference} = 93 - 75 = 18$$ Since the difference is positive, it indicates an increase. 6. Calculate the percent of change: $$\text{Percent of Change} = \frac{18}{75} \times 100 = 24\%$$ So, Rj’s daily allowance increased by $24\%$. Final Table: | Situation | Increase or Decrease in amount? | Difference | Percent of Change | |---|---|---|---| | 1. Water Level | Decrease | $-42$ | $-5\%$ | | 2. Allowance | Increase | $18$ | $24\%$ |