The exponential model that best represents the data is f(x) =5 (0.2)x
Exponential equation
Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x
where
a is the base
x is the exponent
Using the coordinate points (-2, 128) and (-1, 27)
Substitute
128 = ab^-2
27 = ab^-1
128/27 = b^-2/b^-1
128/27 = b^-1
b = 27/128
Determine the value of a
y = ab^x
27 = a(27/128)^-1
27 = 128/27a
128a= 27 * 27
128a = 729
a= 5.69
Hence the exponential model that best represents the data is f(x) =5 (0.2)x
Learn more on exponential model here: https://brainly.com/question/2456547
#SPJ1
