Question

Write an exponential function =for a graph that passes through (2,1) and (3,10). Ill give you whatever please help

Answer 1

`y = (1)/(100) * 10{}^(x)`

Explanation:

Use coordinates (2,1) and 3,10

The exponential equation is

`y = a * b {}^(x)`

Plug in the x and y values.xfor both functions of coordinates.

`1 = a * b {}^(2)`

`10 = a * b {}^(3)`

Divide the equation with the larger exponet by the other equation.

`10 = b`

Substitute that in for one of the equations.

`10 = a * 10 {}^(3)`

Solve for a.

`10 = a * 1000`

`(1)/(100) = a`

So our exponetial equation is

`y = (1)/(100) * 10 {}^(x)`