The answer is 12
SOLVINGS
An exponential function is represented as y = f(x) = a · b^x
As given in the table,
When x = 0, y = 3
y = a · b^x
3 = a(b^0)
3 = a
a = 3
y = a · b^x
a = 3
Therefore, y = 3 · b^x
As given in the table,
When x = 1, y = 6
y = 3 · b^x
6 = 3 · b^1
6 = 3b
3b = 6
b =2
y = 3 · b^x
b = 3
y = 3 · 2^x
As given in the table,
When x =2, y = r
y = 3 · 2^x
r = 3 · 2^2
r = 3 · 4
r = 12
12 is value of r that will make the table a representation of an exponential function.