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.

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.

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