Answer:
Explanation:
Let's start by finding the rate of water dripping out of the pipe. We know that after 52 minutes, there are 13 inches of water in the bucket. This means that the rate of water dripping into the bucket is:
13 inches / 52 minutes = 0.25 inches per minute
So, for every minute that passes, 0.25 inches of water is added to the bucket.
Let's now write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t. We can use the slope-intercept form of a linear equation, which is:
y = mx + b
where y is the dependent variable (in this case, the number of inches of water in the bucket), x is the independent variable (the number of minutes that have passed), m is the slope (the rate of water dripping into the bucket), and b is the y-intercept (the initial amount of water in the bucket at t=0).
We know that the initial amount of water in the bucket is 0 inches at t=0. We also know that the slope is 0.25 inches per minute. Therefore, the linear function rule is:
w = 0.25t + 0
or simply:
w = 0.25t
This means that for every minute that passes, the amount of water in the bucket increases by 0.25 inches. To find out how many inches of water are in the bucket after a specific number of minutes, simply plug that number into the equation for t.