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A tree is currently
2
feet tall and grows
1.3
feet per year. Which inequality represents the time, in
x
years, when the tree will have a height of at least
20
feet?


Sagot :

The inequality expression for the number of years when tree will be atleast 20 feets tall is x ≥14

  • Current height = 2

  • Growth rate = 1.3 feets per year

The height of the tree after x years can be represented as a linear equation thus :

  • Height = 2 + 1.3x

Number of years when the tree will be 20 feets tall :

  • 20 = 2 + 1.3x
  • 20 - 2 = 1.3x
  • 1.3x = 18
  • x = 13.84

The tree would be atleast 20 feets tall in 14 years x this can be expressed thus

  • x ≥14

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