SOLUTION: Write an exponential function such that f(-2) = 25 and f(1) = 8/5. I got F(x) = 6.25*(0.4) ͯ but my teacher tells me its not 6.25 but 4. Where do I get the 4 from?

Question 1009912: Write an exponential function such that f(-2) = 25 and f(1) = 8/5.
I got F(x) = 6.25*(0.4) ͯ but my teacher tells me its not 6.25 but 4. Where do I get the 4 from?

Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It does check out with

-------------------

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As for how to get the ,

and

Hope this helps
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
can be the form of the exponential function.
Two points are (,) and (, ).

solve the system:
Take logarithms of both sides, base of your choice, and you will have a linear equation. You would need to make an adjustment to the vertical axis component of your given points.

.......eq.1

.......eq.2
subtract eq.1 from eq.2

now find
from eq.2

so,
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SOLUTION: Write an exponential function such that f(-2) = 25 and f(1) = 8/5. I got F(x) = 6.25*(0.4) &#879; but my teacher tells me its not 6.25 but 4. Where do I get the 4 from?

SOLUTION: Write an exponential function such that f(-2) = 25 and f(1) = 8/5. I got F(x) = 6.25*(0.4) ͯ but my teacher tells me its not 6.25 but 4. Where do I get the 4 from?