At time t=​0, water begins to drip out of a pipe into an empty bucket. After 48 ​minutes, there are 6 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t. The linear function rule is w
pl help

w = 0.125t

Step-by-step explanation:

y = mx + b

make it so that it relates to the problem:

w = mt + b

w = inches of water left after t minutes of time

t = time

m = rate in which the water is dripping

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

Plug the given information into the formula:

6 = 48m + 0

Get the variable, m, by itself on the other side of the equal sign.

*Remember that what you do on one side, must done on the other.

    6 - 0 = 48m + 0 - 0

    6 / 48 = 48m / 48       ← Divide by 48 on both sides to isolate the variable.

    8 = m                           ← This means that 1 in of water drips after 8 mins.

    1 / 8 = 0.125                ← This means that 0.125 in of water drips each min.

0.125 inch/minute, meaning that w = 0.125t