The ordered pairs model an exponential decay function. {(−1,30), (0,21), (1,14.7), (2,10.2 9)} what is the function equation? enter your answer in the box. f(x)=

The function equation is;

Step-by-step explanation:

An exponential decay function is in the form of   ......[1]

where a≠0 is the initial value and b≠0, .

Consider any two ordered pairs to modeled the function:

(-1 , 30) and (0, 21)

Substitute these value to get a and b value ;

For (0, 21)

put x = 0 and y = 21 in [1] we get

or

21 = a

Similarly,

substitute (-1 , 30) we get;

or

Substitute the value of a to solve for b;

Divide both sides by 30 we get;

or

b = 0.7 < 1

Value of a = 21 and b= 0.7

Substitute these values in [1] to get the required function:

therefore, the function equation is;