Question

( Please place answer in proper formatting) I will send a picture of proper formatting. Hans drained an aquarium. He took 15 minutes. The graph shows the amount of water (In liters) in the aquarium versus time (in minutes).Find the domain and the range of the function shown.25175150Amountof water 125+(liters)100SOTime (minutes)Write your answers as inequalities, using x or y as appropriate.Or, you may Instead click on "Empty set" or "All reals" as the answer.

Answer 1

The graph of the amount of water drained versus time is a linear graph.

We can determine the equation to be:

$Amount\text{ of water drained = 75 - 5 }\times\text{ time}$

The domain and range of the function are :

Domain: Represents the set of allowable time(x values) that satisfies the equation:

$\begin{gathered} 0\text{ }\leq\text{ time }\leq\text{ 15} \\ or \\ 0\text{ }\leq\text{ x }\leq\text{ 15} \end{gathered}$

Time cannot be negative.

Range : Represents the set of allowable Amount of water drained(y values):

$\begin{gathered} 0\text{ }\leq\text{ Amount }\leq\text{ 75} \\ 0\text{ }\leq\text{ y }\leq\text{ 75} \\ \end{gathered}$

The amount of water drained starts at 75 litres and stops at zero