Question

During the summer months , the water level in Marta's pool decreases by about 1/2 inch each day due to evaporation . Which equation shows the approximate total change, in inches, to the water level in her pool after 30 summer days?​

Answer 1

Answer:

$\Delta z = 1.2\cdot \Delta t$, $\Delta z = 36\,in$

Explanation:

The total water level lost due to evaporation is directly proportional to the number of day. That is:

$\Delta z = k \cdot \Delta t$

Where $k$ is the proportionality constant, which is equal to $\frac{1}{2}\,\frac{in}{day}$. The expression is:

$\Delta z = 1.2\cdot \Delta t$

And the total change in water level after 30 days is:

$\Delta z = 1.2\cdot (30\,days)$

$\Delta z = 36\,in$