Question

Find the exponential equation for the given information. Pls help

Answer 1

Answer:

y = 12 $(2.9)^{x}$

Step-by-step explanation:

The standard form of the exponential function is

y = a $(b)^{x}$

Find a and b by substituting ordered pairs from the table into the equation

Using (0, 12 ), then

12 = a$b^{0}$ ( $b^{0}$ = 1 ), so

a = 12, then

y = 12 $b^{x}$

Using (1, 34.8 ) , then

34.8 = 12 $b^{1}$ ( divide both sides by 12 )

b = 2.9

Thus exponential function is

y = 12 $(2.9)^{x}$