Suppose your allowance is $2 now, and it will

double every week. Write an exponential expression for your allowance 20 weeks from

now. Then use your calculator to calculate your allowance at that time.

Answer: f (x) = 2 (2) ˣ

f (20) = $2,097,152

Step-by-step explanation:

Use the exponential formula: f (x) = a (b) ˣ where

a = initial (starting) amount b = rate x = time

Given: a = 2, b = 2

Equation: f (x) = 2 (2) ˣ

f (20) = 2 (2) ²⁰

= 2,097,152

An exponential expression to represent your allowance 20 weeks from now would be:

2^20

This is correct since we are basically multiply 2 by itself for twenty times.

Now, we solve it.

2^20 = 1048576

Thus, your allowance by the end of 20 weeks is $1,048,575.

You would be a millionaire by then.