Question

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.

Answer 1

Answer:

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

Answer 2

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.

Linear function;

The equation which represents the linear function is;

$\rm w= mt+b$

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;

$\rm \rm w= mt+b\\\\8=56m+0\\\\56m = 8\\\\m = \dfrac{8}{56}\\\\m=\dfrac{1}{7}$

Therefore,

The linear function represents the amount of water is;

$\rm w= mt+b\\\\w=\dfrac{1}{7}t+0\\\\w=\dfrac{1}{7}t$

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.

https://brainly.com/question/17058347