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

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?

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Thanh Thu 4 years 2021-08-14T16:50:22+00:00 1 Answers 156 views 0

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  1. bonexptip
    0
    2021-08-14T16:51:23+00:00
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    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

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