A50-gallon rain barrel is filled to capacity. it drains at a rate of 10 gallons per minute. write an equation to show how much water is in the barrel after x minutes of draining. then make a graph for this function

The quantity of water drain after x min is 50  

Step-by-step explanation:

Given as :

Total capacity of rain barrel = 50 gallon

The rate of drain = 10 gallon per minutes

Let The quantity of water drain after x min = y

Now, according to question

The quantity of water drain after x min = Initial quantity of water ×  

I.e The quantity of water drain after x min = 50 gallon ×  

or,  The quantity of water drain after x min = 50 gallon ×

Hence the quantity of water drain after x min is 50  Answer

Step-by-step explanation:

Let x represent number of minutes of draining.

We have been given that a barrel drains at a rate of 10 gallons per minute. So gallons drained after x minutes of draining would be .

Since the numbers of gallons is decreasing, so slope will be negative as:

We are also told that the 50-gallon rain barrel is filled to capacity. This means that initial value or y-intercept is 50.

We can represent number of gallons remaining (y) after x minutes as:

Therefore, the equation shows the amount of water in the barrel after x minutes of draining.  

Upon graphing our equation, we will get required graph as shown in the attachment.

y=mx+b

step-by-step explanation:

m slope

b y-intercept