Question

You have a part-time job. One day your boss offers to pay you either 2h−1 or 2h − 1 dollars for each hour h you work that day. Complete the table. Which option should you choose? Explain.
I filled in the first part of the table I just need help on the second part.

Answer 1

For the second part, you have to subtract 1 from the number of hours and raise it to that power.

For example, when h = 1, you have:

2^(1 - 1)
2^0
1

The 5 values in your table would be:
1  2  4  8  16

Answer 2

Answer:

The better option is $2^h -1$ hour every h hour, because in this way, we can earn more.  

Step-by-step explanation:

We are given the following information in the question:

On a part time job, a person is paid $2^{h-1}$ for every hour h he works.

Then payment can be written as:

$h = 1, 2^{h-1} = 2^{1-1} = 2^0 = 1\\h = 2, 2^{h-1} = 2^{2-1} = 2^1 = 2\\h = 3, 2^{h-1} = 2^{3-1} = 2^2 = 4\\h = 4, 2^{h-1} = 2^{4-1} = 2^3 = 8\\h = 5, 2^{h-1} = 2^{5-1} = 2^4 = 16$

Table:

   h:       1        2        3        4         5

Pay:      1         2        4       8          16

The better option is $2^h -1$ hour every h hour, because in this way, we can earn more.