SOLUTION: Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 5) and (x, y) = (3, 40)

Algebra ->  Graphs -> SOLUTION: Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 5) and (x, y) = (3, 40)      Log On


   

Question 1106685: Find the formula for an exponential function that passes through the two points given.
(x, y) = (0, 5)
and
(x, y) = (3, 40)
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


An exponential function is of the form y+=+a%28b%5Ex%29.

From the given information, we know
5+=+a%28b%5E0%29
5+=+a

Using that value of a with the other piece of information,
40+=+a%28b%5E3%29
40+=+5b%5E3
8+=+b%5E3
2+=+b

Both parameters for the exponential function have been determined. The function is
y+=+5%282%5Ex%29