SOLUTION: The question goes like this.... Write an exponential function that includes the given points (1,5);(2,7)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The question goes like this.... Write an exponential function that includes the given points (1,5);(2,7)       Log On


   

Question 34710: The question goes like this....
Write an exponential function that includes the given points (1,5);(2,7)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab^x is the form of an exponential function.
You have two points with values of x and y.
You need to find a and b.
Substiute as follows:
5=ab^1
7=ab^2
Divide the 1st into the 2nd to get:
7/5 = b
Substitue that into the 1st to get:
5=a(7/5)
a=25/7
EQUATION: y= (25/7)(7/5)^x
Cheers
Stan H.)