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A balloon is released from a height of 5 feet and increases in height by 6.3 feet per second. Which expression represents the height of the balloon after x seconds?

Respuesta :

Expression is; y = 6.3x + 5

  • We are told the balloon increases in height by 6.3 ft.

Thus, dy/dx = 6.3

  • Now, we are told that it is released from a height of 5 m. This means that at a time of x = 0, y = 5

  • Let's integrate dy/dx = 6.3 to get the equation of the height at time x.

y = ∫dy/dx = 6.3x + c

Since x = 0 when y = 5, then we have;

5 = 6.3(0) + c

c = 5

Thus, the complete equation of the height of the balloon after x seconds is;

y = 6.3x + 5

Read more at; brainly.com/question/17554501

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