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A child is being pushed by his father. The father starts swinging the child at a height of one foot. Each successive push increases the height of the child by 15%. How many pushes will it take for the child to reach a height of 20 feet?

Respuesta :

The father would have to push the child approximately 127 times for the child to attain a height of 20feet

Data;

  • Initial height = 1 foot
  • Successive increase = 15% = 0.15 ft
  • Maximum height = 20 feet
  • Number of Push = ?

The Number of Push Required

To calculate the number of push required, we have to write an equation to represent this.

[tex]y = 1 + 0.15x[/tex]

y = maximum number of push

x = number of times required to push

[tex]20 = 1 + 0.15x\\20 - 1 = 0.15x \\19 = 0.15x\\\frac{19}{0.15} = \frac{0.15x}{0.15} \\x= 126.6\\x = 127[/tex]

The father would have to push the child approximately 127 times for the child to attain a height of 20feet

Learn more on equations here;

https://brainly.com/question/16863577

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