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 the speed of 5 inches per minute.​ what is the slope?

Answer 1

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