Quantitative Literacy Practice Exam 2025 – Comprehensive All-in-One Guide to Exam Success!

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What will be the volume of a pool after 14 days if it starts with 19,800 gallons and evaporates at 2% per day?

14,256 gallons

To determine the volume of the pool after 14 days, given that it starts with 19,800 gallons and evaporates at a rate of 2% per day, we need to apply the concept of exponential decay.

The formula to calculate the remaining volume after a certain number of days with a daily percentage decrease is:

\[ V = V_0 \times (1 - r)^t \]

Where:

- \( V_0 \) is the initial volume,

- \( r \) is the rate of evaporation (expressed as a decimal), and

- \( t \) is the number of days.

In this scenario:

- The initial volume \( V_0 = 19,800 \) gallons,

- The evaporation rate \( r = 0.02 \),

- The time \( t = 14 \) days.

Substituting in these values:

\[ V = 19,800 \times (1 - 0.02)^{14} \]

Simplifying the equation:

\[ V = 19,800 \times (0.98)^{14} \]

Now, calculating \( (0.98)^{14} \):

\[ (0.98)^{14} \approx

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15,000 gallons

16,000 gallons

13,500 gallons

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