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The local water supply has a leak, it is losing 4 gallons of water every second.
After 15 seconds, the water level is at 1024 gallons. Write an equation to
represent the situation: *

Respuesta :

absor201

Answer:

An equation to  represent the situation would be:

  • [tex]y = 4x + 964[/tex]

Step-by-step explanation:

Given that the water supply is losing 4 gallons of water every second.

It means the rate of change = 4 gallons per second

  • Given that after 15 seconds, the water level is at 1024 gallons.

So the equation becomes

1024 = 4(15) + b

comparing with the slope-intercept form of the equation of a line

[tex]y = mx+b[/tex]

where m is the slope (rate of change) and b is the y-intercept

so

[tex]1024 = 4(15) + b[/tex]

[tex]1024 = 60 + b[/tex]

[tex]1024 - 60 = b[/tex]

[tex]b = 964[/tex]

So, the value of y-intercept i.e b=964

Thus, the equation will be

[tex]y = mx+b[/tex]

substituting the value rate of change i.e m = 4 and b=964

[tex]y = 4x + 964[/tex]

Therefore, an equation to  represent the situation would be:

  • [tex]y = 4x + 964[/tex]

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