Answer:
y=5x+5
Step-by-step explanation:
What you're doing is creating an equation for #1 in slope-intercept form (y=mx+b)
Where m is the slope and b is your y-intercept!
If you already have 5 gallons in the tank and your adding 5 more gallons every minute, let x be your minutes:

For #2 you're going to graph this, but you need to know your slope and y-intercept! In this case your slope is 5 and your y-intercept is 5. your graph would look like the picture attached.
For #3, yes! It does make sense to draw a line because the amount of water is increasing in the tank by 5 gallons every minute, meaning it will increase until she stops it.
For #4 If there had been no water in the tank already then the whole equation would change to just being
, because there would be no starting amount. This also means that the graph would look different and it would start at 0 rather than at 5.
The children is 6$ and the adults are 10$ so therefore one child is 6$ to get it
(5, 3) is your answer hope this helps!
To solve this problem you must apply the proccedure shown below:
1. You have the following parent function given in the problem above:

2. And you have the function 
3. By definition, if you have the function
and
it is a vertical stretch.
4. Therefore, you have that:

Therefore the answer is: It is a vertical stretch.