HELP ASAP

A rain barrel is full of water and used to water a garden. The rain barrel loses water at the rate of 2.5 gallons of water per minute. After seven minutes, the rain barrel contains 37.5 gallons.

D. What is the total number of minutes it will take to completely empty the rain barrel?

Respuesta :

So, first let's refill the barrel to the top:
37.5 + 7*2.5 = 55
Now that it's full again, let's divide the total amount by the rate of water loss:
55/2.5 = 22
It will take 22 minutes to completely empty the rain barrel

Answer:

Answer: y - 37.5 = 2.5 ( x - 7)

Explanation:

1) The point-slope form is has this form:

 y - y1 = m (x - x1)

Where m is the slope or rate of change and x1, y1 are the coordinates of the point.

2) you are told that the the rate of change of water (m) is 2.5

m = 2.5

3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:

x1 = 7

y1 = 37.5

4) Replace those value in the point-slope model:

y - 37.5 = 2.5 ( x - 7)

That is the point-slope model or equation.

Step-by-step explanation: