A pool is in the shape of a rectangular prism. On Monday, water was pumped out of the pool at a constant rate, starting at 12:00 p. m. At 12:15 pm, the water in the pool was 45 inches deep. At 12:25 p. m., the water in the pool was 41 inches deep. Write an equation that represents y, the depth of the water (in inches), after x minutes.

y = 51-0.4x

Step-by-step explanation:

From the question, we can see that the amount of water left in the pool was 45 inches deep within 12:15-12:00 = 15 minutes

However, within 10 minutes there was a loss of 45-41 = 4 inches

So what this means is that per minute, the amount of loss expected is 4 inches/10 minutes = 0.4 inches per minute

what we are saying is that a loss of 4 inches depth of water is needed per minute

So we want to write an equation, representing the depth after x minutes

So what we have here is that the total inches at present will be;

45 + 0.4(15) = 45 + 6 = 51 inches

The pool was 51 inches deep initially before the pumping out began

That will be;

y = 51-0.4x

where is the depth and x is the number of minutes