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Answer :
To find the percent of change from 688 quarts to 172 quarts, you can follow these steps:
1. Determine the change in quantity:
Subtract the final amount from the initial amount to find the change.
[tex]\[
\text{Change in quantity} = \text{Final quantity} - \text{Initial quantity} = 172 - 688 = -516
\][/tex]
2. Calculate the percent change:
The percent change is calculated by taking the change in quantity, dividing it by the initial quantity, and then multiplying by 100 to get a percentage.
[tex]\[
\text{Percent change} = \left(\frac{\text{Change in quantity}}{\text{Initial quantity}}\right) \times 100 = \left(\frac{-516}{688}\right) \times 100
\][/tex]
3. Simplify the calculation:
[tex]\[
\text{Percent change} = -0.75 \times 100 = -75\%
\][/tex]
Since the percent change is negative, this indicates a percent decrease. Therefore, the quantity decreased by 75%.
1. Determine the change in quantity:
Subtract the final amount from the initial amount to find the change.
[tex]\[
\text{Change in quantity} = \text{Final quantity} - \text{Initial quantity} = 172 - 688 = -516
\][/tex]
2. Calculate the percent change:
The percent change is calculated by taking the change in quantity, dividing it by the initial quantity, and then multiplying by 100 to get a percentage.
[tex]\[
\text{Percent change} = \left(\frac{\text{Change in quantity}}{\text{Initial quantity}}\right) \times 100 = \left(\frac{-516}{688}\right) \times 100
\][/tex]
3. Simplify the calculation:
[tex]\[
\text{Percent change} = -0.75 \times 100 = -75\%
\][/tex]
Since the percent change is negative, this indicates a percent decrease. Therefore, the quantity decreased by 75%.
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