An inlet pipe can fill a pool in 12 hours, while an outlet pipe can empty it in 15 hours. if both pipes are left open, how long will it take to fill the pool

1/12-1/15=1/n
10-8/120=1/n
2n=120
n=60
It will take 60 hours to fill the pool that way
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The correct answers are:

A) constant
B) straight line
C) linear

Explanation:

The equation y=0.25x+10 is in slope-intercept form, y=mx+b where m is the slope and b is the y-intercept.  The slope is the rate of change.  The number in our equation that is in place of m is 0.25.  This means for every change in x, the graph will go up 0.25.  The rate of change is the same throughout the entire function, so this is a constant rate of change.

Since the rate of change is constant, the graph will be a straight line.  A constant rate of change means there is the same distance between every two points on the graph; this is only true of a straight line.

Since the graph is a straight line, the function is linear by definition.