Answer: 1. all values between 0 and 5.5
2. $0.25
3. the monthly minimum number of videography packages Ethan must sell to pay for his studio
Step-by-step explanation:
1. The rate of filling the baby pool= 6 gallons per minute.
let x be the number of minutes to fill the pool.
The maximum capacity of pool = ![V=6x=33\ gallons](https://tex.z-dn.net/?f=V%3D6x%3D33%5C%20gallons)
![\\\Rightarrow\ x=5.5\ minutes](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%5C%20x%3D5.5%5C%20minutes)
Therefore, in 5.5 minutes the pool will be filled completely.
Therefore, domain of the function = all values between 0 and 5.5
2. Given equation: ![y=0.25x+4.](https://tex.z-dn.net/?f=y%3D0.25x%2B4.)
We know that the for the y intercept, put x=0, we get
![y=0.25+0=0.25](https://tex.z-dn.net/?f=y%3D0.25%2B0%3D0.25)
Hence, the y intercept is $0.25.
3. Given function: ![P=350x-900](https://tex.z-dn.net/?f=P%3D350x-900)
For x intercept , put P=0, we get
, which shows the monthly minimum number of videography packages Ethan must sell to pay for his studio.