 # A balloon is filled with a certain mass of gas. When the temperature is constant, the pressure P in the balloon is an inverse proportional function of the balloon volume V, and the coordinates of a point are (1.5,64) 1. Write the analytical formula of inverse proportional function 2 when the volume of the balloon is 0.8m3, what is the air pressure in the balloon 3. When the pressure in the balloon is greater than 144 kPa, the balloon will explode. How many cubic meters should the volume of the balloon be?

## A balloon is filled with a certain mass of gas. When the temperature is constant, the pressure P in the balloon is an inverse proportional function of the balloon volume V, and the coordinates of a point are (1.5,64) 1. Write the analytical formula of inverse proportional function 2 when the volume of the balloon is 0.8m3, what is the air pressure in the balloon 3. When the pressure in the balloon is greater than 144 kPa, the balloon will explode. How many cubic meters should the volume of the balloon be?

1.P=96/V
2. P = 96 / 0.8 = 120 kPa
3.96/V=P2/3
That is, the volume of the balloon should not be less than 2 / 3 cubic meters

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