Question
Gina gets money from her grandfather every day for the entire week of her birthday, starting on Monday. She gets $2 on Monday, $4 on Tuesday, and the previous day's amount gets multiplied by 2 each day.
Which of the following would represent how much money Gina would receive on Thursday?
2^4
2^2
2^5
2^3
Which of the following would represent how much money Gina would receive on Thursday?
2^4
2^2
2^5
2^3
Answers
GPT-4o mini
To find out how much money Gina receives on Thursday, let's break down the amounts she receives each day of the week starting from Monday:
- On **Monday**, she receives \(2\) dollars. This can be represented as \(2^1\).
- On **Tuesday**, she doubles the amount she received on Monday, thus she receives \(2 \times 2 = 4\) dollars, which is \(2^2\).
- On **Wednesday**, she doubles the Tuesday amount to get \(2 \times 4 = 8\) dollars, which is \(2^3\).
- On **Thursday**, she doubles the Wednesday amount to get \(2 \times 8 = 16\) dollars, which is \(2^4\).
Now, let's summarize the amounts:
- Monday: \(2^1\)
- Tuesday: \(2^2\)
- Wednesday: \(2^3\)
- Thursday: \(2^4\)
Thus, the amount Gina receives on **Thursday** is represented by \(2^4\).
Therefore, the answer is **\(2^4\)**.
- On **Monday**, she receives \(2\) dollars. This can be represented as \(2^1\).
- On **Tuesday**, she doubles the amount she received on Monday, thus she receives \(2 \times 2 = 4\) dollars, which is \(2^2\).
- On **Wednesday**, she doubles the Tuesday amount to get \(2 \times 4 = 8\) dollars, which is \(2^3\).
- On **Thursday**, she doubles the Wednesday amount to get \(2 \times 8 = 16\) dollars, which is \(2^4\).
Now, let's summarize the amounts:
- Monday: \(2^1\)
- Tuesday: \(2^2\)
- Wednesday: \(2^3\)
- Thursday: \(2^4\)
Thus, the amount Gina receives on **Thursday** is represented by \(2^4\).
Therefore, the answer is **\(2^4\)**.