SOLUTION: Find a formula for the exponential function passing through the points (-1,3/5) and (3,375).

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Question 1148671: Find a formula for the exponential function passing through the points (-1,3/5) and (3,375).
Found 3 solutions by josmiceli, MathTherapy, greenestamps:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

( -1, 3/5 )
( 3, 375 )
----------------


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


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







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

---------------------------------
Check:


You can check the other point


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Find a formula for the exponential function passing through the points (-1,3/5) and (3,375).
The other person's answer is WRONG!

 ------ Substituting (- 1, ) for (x, y)
 ------- eq (i)



 ----- Substituting (3, 375) for (x, y)
 ------- eq (ii)


This then results in: 
------- Cross-multiplying


 ------- Substituting 5 for b in eq (i)
Exponential function:

Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


Substitute the two given points into the general formula for an exponential function,



(1)
(2)

Divide (2) by (1):






Use that value of b in one of the original equation to determine the value of a.




ANSWER: The function is


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