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:
[tex]y=5x+5[/tex]
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 [tex]y=5x[/tex], 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.
