Question

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

Answer 1

Answer:

$y = \frac{1}{100} \times 10{}^{x}$

Step-by-step explanation:

Use coordinates (2,1) and 3,10

The exponential equation is

$y = a \times b {}^{x}$

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

$1 = a \times b {}^{2}$

$10 = a \times b {}^{3}$

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

$10 = b$

Substitute that in for one of the equations.

$10 = a \times 10 {}^{3}$

Solve for a.

$10 = a \times 1000$

$\frac{1}{100} = a$

So our exponetial equation is

$y = \frac{1}{100} \times 10 {}^{x}$