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.

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1