Question

I need these answers I have no idea how to even do this please help

Answer 1

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:

$y=5x+5$

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 $y=5x$, 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.