At time t=0, water begins to drip out of a pipe into an empty bucket. after 56 minutes, 8 inches of water is in the bucket. what linear function in the form y=mx+b represents the amount of water in inches, w, in the bucket after t minutes.

The linear function represents the amount of water is w = (1/7) t.

Given

At time t = 0, water begins to drip out of a pipe into an empty bucket.

After 56 minutes, 8 inches of water is in the bucket.

The equation which represents the linear function is;

Where; w = inches of water left after t minutes of time.

t = time.

m = rate at which the water is dripping.

b = water level (when b = 0, the bucket is empty).

Then,

The rate at which the water is dripping is;

Therefore,

The linear function represents the amount of water is;

Hence, the linear function represents the amount of water is w = (1/7) t.

To know more about the Linear function click the link given below.

link

W = (1/7) t

Step-by-step explanation:

At t = 0, W  =  0

At t = 56 minutes , W = 8 inches

W = k*t    The y intercept = 0 because t = 0 W = 0

8 inches = k * 56 minutes

k = 8 / 56

k = 1/7 inches / minute

W = (1/7) t

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

8987678

step-by-step explanation: