The ordered pairs (2, 20) and (3, 40) are solutions to an exponential function. Write the equation for this function.

The exponential function will be  

Step-by-step explanation:

Let the exponential function is given by ............ (1)

Now, ordered pairs (2,20) and (3,40) are the solution of the above exponential function. So, they will satisfy the equation.

Now, for the ordered pair (2,20) putting f(2) = 20, we get

............. (2)

Again, for the ordered pair (3,40) putting f(3) = 40, we get

............. (3)

Now, from equations (3) and equation (2) we get,

2 = b

⇒ b = 2.

Now, from equation (2) we get,

⇒ a = 5

Therefore, the exponential function will be

(Answer)