StarRobbins5511 StarRobbins5511
  • 10-02-2022
  • Mathematics
contestada

Write an exponential model given the two points ​(10​,130​) and ​(11​,240​).

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sqdancefan
sqdancefan sqdancefan
  • 11-02-2022

Answer:

  y = 130(24/13)^(x -10)

Step-by-step explanation:

The y-value changes by a factor of 240/130 = 24/13 for a unit change in the x-value. This means we can write the function as though it had an initial value of 130 and a growth factor of 24/13, translated 10 units to the right.

  y = 130(24/13)^(x -10)

_____

Additional comment

This can also be written in the form ...

  y = a·e^(kx)

where a=130·(24/13)^(-10) ≈ 0.28266, and k=ln(24/13) ≈ 0.61310

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