Every time Pinocchio lies his nose grows about 20% of its size. Originally, his nose was 2 inches long. Which equation models this scenario?

Respuesta :

The equation which models Pinocchio's scenario is  2 × [tex]e^{0.2x} [/tex]

Given:

  • Original size of nose = 2 inches
  • Growth rate per time = 20% = 0.2
  • number of times = x

The equation:

New size of nose = Original size of nose × e^(Growth rate per time × number of times)

= 2 × e^(0.2× x)

= 2 × [tex]e^{0.2x} [/tex]

where

e = Euler's number (2.71828)

Therefore, equation which models Pinocchio's scenario is  2 × [tex]e^{0.2x} [/tex]

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