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?​

Respuesta :

Answer:

[tex]\Delta z = 1.2\cdot \Delta t[/tex], [tex]\Delta z = 36\,in[/tex]

Explanation:

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

[tex]\Delta z = k \cdot \Delta t[/tex]

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

[tex]\Delta z = 1.2\cdot \Delta t[/tex]

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

[tex]\Delta z = 1.2\cdot (30\,days)[/tex]

[tex]\Delta z = 36\,in[/tex]

The total change in water level in her pool after 30 summer days will be Δz=36in.

What is evaporation?

Evaporation is the process in which a liquid state of matter (water) is converted into a gaseous state of matter (vapor). In general terms, evaporation is defined as the process in which the liquid state is converted into gas. This process requires heat energy.

It is the phase transition process of water by which molecules change in vapor state. For example: Water spontaneously becomes gaseous (water vapors). It is the type of vaporization that takes place on the surface of a liquid as it changes itself into a gaseous phase.

Learn more about Evaporation here,

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