Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in Tank A after 80 seconds have passed? How many liters of water are in Tank A after x minutes have passed (answer should be an expression and not an equation)?

Respuesta :

Given the information, we can model the capacity of Tank A with the following relation function:

[tex]y=124+9x[/tex]

where 'y' are the liters inside the tank and x is the minutes that pass.

To find out how many liters of water are n Tank A after 80 seconds, first we must covert 80 seconds to minutes:

[tex]80\sec =\frac{80}{60}\min =\frac{8}{6}\min =\frac{4}{3}min[/tex]

then, doing x=4/3, we get:

[tex]\begin{gathered} x=\frac{4}{3} \\ \Rightarrow y=124+9(\frac{4}{3})=124+(3\cdot4)=124+12=136 \\ y=136 \end{gathered}[/tex]

therefore, after 80 seconds, there are 136 liters in Tank A.

The expression fo know how many liter