The equation for the slope representing this situation is y = 72 - 5x.
The slope represents the constant rate of change in a linear function.
The height of the water level in Noah's water tank = 72 inches
The water drainage rate = 5 inches per minute
Let the minutes (time) of drainage = x
Let the remaining height of the water level = y
Equation:
y = 72 - 5x
Thus, the slope is 5 and the y-intercept is 72 with the variable constant (time) as x.
Complete Question:
The water level in Noah's water tank is 72 inches high. Noah begins to drain a water tank by opening a valve. The water drains at a speed of 5 inches per minute. Write an equation for slope.