Respuesta :
Answer:
An equation of slope:
y = -5x+72
Step-by-step explanation:
The equation of slope intercept is given by:
[tex]y=mx+c[/tex] 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
[tex]m = -5[/tex] (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
Answer: The required equation of slope is given by
[tex]y=72-5x[/tex]
Step-by-step explanation:
Since we have given that
Length of the water level in Noah's water tank = 72 inches
Speed at which water drains = 5 inches per minute
Let the height of the tank be y.
Let the number of minutes be x.
So, the equation of slope is given by
[tex]y=72-5x[/tex]
which represents the height of water level of 72 inches is reduced by 5x inches as
[tex]Distance=Speed\times Time\\\\Distance=5\times x\\\\Distance=5x[/tex]
Hence, the required equation of slope is given by
[tex]y=72-5x[/tex]
