Question

Consider the table below

Answer 1

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.