Answer:
w = 0.125t
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.
So...
0.125 inch/minute, meaning that w = 0.125t