Answer:
Step-by-step explanation:
I'll show you with an example. I'll make a table and then show you how to find the exponential equation, ok?
x y
0 3
1 12
2 48
3 192
The standard form of an exponential equation is
[tex]y=a(b)^x[/tex]
We will take 2 (x,y) coordinates from our table and fit them into the equations to solve for a and b. Using the point (0, 3):
[tex]3=a(b)^0[/tex]
b to the 0 power is equal to 1, so the equation then becomes a(1) = 3 so a = 3. We will use the other x, y coordinate along with that a value to now solve for b:
[tex]12=3(b)^1[/tex]
b to the first is b, so now that equation becomes 3b = 12 and b = 4. Filling that info back into the standard form:
[tex]y=3(4)^x[/tex]
There you go!
