Question

The volume of water in a tank is modeled by the function y = 1.15x3 – 0.1x2 + 2 where x is the number of minutes after the faucet filling the tank is turned on. What is the y-intercept of the graph, and what does it represent in this context? Choose from the drop-down menus.

Answer 1

Given:

The volume of water in a tank is modeled by the function

$y=1.15x^3-0.1x^2+2$

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,

$y=1.15x^3-0.1x^2+2$

Substituting x=0, we get

$y=1.15(0)^3-0.1(0)^2+2$

$y=0-0+2$

$y=2$

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 2

Answer:

The volume of water in a tank before the faucet filling the tank is turned on.

Step-by-step explanation: