Answer:
An equation of slope:
y = -5x+72
Step-by-step explanation:
The equation of slope intercept is given by:
where m is the slope and c is the y-intercept or initial value.
Let x represents the time in minutes and y represents the height of the water level
As per the statement:
The water level in Noah's water tank is 72 inches high.
At x = 0
y= 72
It is also given that:
The water drains at a speed up 5 inches per minute.
Here, m represent the slope in inches per minute
(as the water drains)
Substitute in [1] we get;
y = -5x+c
Substitute x = 0 then;
72 = -5(0)+c
72 = c
⇒equation becomes: y = -5x+72
Therefore, an equation of slope is y = -5x+72
