SOLUTION: Find a formula for the exponential function passing through the points (−3,5/27) and (2,45)

Algebra ->  Exponents -> SOLUTION: Find a formula for the exponential function passing through the points (−3,5/27) and (2,45)       Log On


   

Question 1200522: Find a formula for the exponential function passing through the points (−3,5/27) and (2,45)
Found 2 solutions by Solver92311, greenestamps:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!










Therefore contains the points and


John

My calculator said it, I believe it, that settles it

From
I > Ø

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


An exponential function is of the form y=ab%5Ex.

Plug in the given (x,y) values to get two equations in a and b:

ab%5E%28-3%29=5%2F27
ab%5E2=45

Divide the second equation by the first.

%28ab%5E2%29%2F%28ab%5E%28-3%29%29=45%2F%285%2F27%29=45%2A%2827%2F5%29=9%2A27=243
b%5E5=243=3%5E5
b=3

Substitute b=5 in either original equation to find a.

a%283%5E2%29=45
9a=45
a=5

ANSWER: y=5%283%5Ex%29