Question

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. What does the y intercept represent?

Group of answer choices

a. the height of the water when the tank is full

b. the height of the water after x minutes

c. the volume of the tank after x minutes

d. the volume of water in the tank before the faucet is turned on

Answer 1

Option D: y-intercept is the volume of water in the tank before the faucet is turned on.

Explanation:

We are told that 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

Now, the y-intercept is usually at the point where x = 0.

Thus, if x = 0 minutes, it means the faucet filling the tank is not yet turned on since x is the number of minutes after the faucet is turned on.

Thus, y-intercept is the volume of water in the tank before the faucet is turned on.