We want to compare functions g(x) and f(x). We would find g(x) from the table. The general form of an exponential equation is expressed as
y = ab^x
where
a is the initial value
b is the growth or decay rate
From the table, when x = 0, y = 300
300 = ab^0
a = 300
when x = 1, y = 264
264 = 300b^1 = 300b
b = 264/300 = 0.88
Thus, the formula for g(x) is
g(x) = 300(0.88)^x
f(x) = 150(0.94)^x
Both functions represent decay because b < 1
Initial value of g(x) is 300 and initial value of f(x) is 150
