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the volume of a balloon varies directly with the temperature (in degrees kalvin)of the air inside it. a formula for this function for a certain balloon is:
y=2x
where x represents the temperature in degrees kelvin
and y represents the volume of the balloon in cubic centimeters.

a)if the temperature is 300 degrees kelvin, what is the volume of the balloon?

b)if the volume of the balloon is 500 cubic centimeters, what is the temperature?

c)how is the constant of variation in this formula related to the size of the balloon?
(HINT: how does the balloons size change if the constant of variation increases?)

Answer :

Mhanifago

Answer:

The function is:

  • y = 2x, where 2 is the constant of variation

a)

If x = 300, the value of y is:

  • y = 2*300
  • y = 600 cm³

b)

If y = 500, the value of x is:

  • 500 = 2x
  • x = 500/2
  • x = 250 °K

c)

In this case k = 2

If k increases, and for example k = 3, it will cause the size of balloon increase 3 times per temperature (or decrease as temperature decreases).

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