Answer:
[tex]y = \frac{1}{100} \times 10{}^{x} [/tex]
Step-by-step explanation:
Use coordinates (2,1) and 3,10
The exponential equation is
[tex]y = a \times b {}^{x} [/tex]
Plug in the x and y values.xfor both functions of coordinates.
[tex]1 = a \times b {}^{2} [/tex]
[tex]10 = a \times b {}^{3} [/tex]
Divide the equation with the larger exponet by the other equation.
[tex]10 = b[/tex]
Substitute that in for one of the equations.
[tex]10 = a \times 10 {}^{3} [/tex]
Solve for a.
[tex]10 = a \times 1000[/tex]
[tex] \frac{1}{100} = a[/tex]
So our exponetial equation is
[tex]y = \frac{1}{100} \times 10 {}^{x} [/tex]
