Respuesta :
Given:
The volume of water in a tank is modeled by the function
[tex]y=1.15x^3-0.1x^2+2[/tex]
where, x is the number of minutes after the faucet filling the tank is turned on.
To find:
The y-intercept and what does it represent in this context?
Solution:
We have,
[tex]y=1.15x^3-0.1x^2+2[/tex]
Substituting x=0, we get
[tex]y=1.15(0)^3-0.1(0)^2+2[/tex]
[tex]y=0-0+2[/tex]
[tex]y=2[/tex]
Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.
Answer:
The volume of water in a tank before the faucet filling the tank is turned on.
Step-by-step explanation:
