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

User Ashanta
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1 Answer

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Answer:

y = 130(24/13)^(x -10)

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

Write an exponential model given the two points ​(10​,130​) and ​(11​,240​).-example-1
User Rupinder
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