Question
During one week, the price of a stock decreased $4 per day for 3 days and increased $2 per day for 4 days. Which integer represents the change in the price of the stock over the week?
–20
–4
4
20
–20
–4
4
20
Answers
GPT-4o mini
To find the total change in the price of the stock over the week, we can break it down into two parts:
1. The decrease in stock price:
- The stock decreased by $4 per day for 3 days.
- Total decrease = \( 4 \text{ dollars/day} \times 3 \text{ days} = 12 \text{ dollars} \).
Since it is a decrease, we represent this as a negative change, so it will be -12.
2. The increase in stock price:
- The stock increased by $2 per day for 4 days.
- Total increase = \( 2 \text{ dollars/day} \times 4 \text{ days} = 8 \text{ dollars} \).
This is an increase, so we represent this as a positive change, which is +8.
Now, we add the total decrease and the total increase to find the overall change in the price of the stock:
\[
\text{Total change} = \text{Decrease} + \text{Increase} = -12 + 8 = -4
\]
Therefore, the integer that represents the change in the price of the stock over the week is \(-4\).
1. The decrease in stock price:
- The stock decreased by $4 per day for 3 days.
- Total decrease = \( 4 \text{ dollars/day} \times 3 \text{ days} = 12 \text{ dollars} \).
Since it is a decrease, we represent this as a negative change, so it will be -12.
2. The increase in stock price:
- The stock increased by $2 per day for 4 days.
- Total increase = \( 2 \text{ dollars/day} \times 4 \text{ days} = 8 \text{ dollars} \).
This is an increase, so we represent this as a positive change, which is +8.
Now, we add the total decrease and the total increase to find the overall change in the price of the stock:
\[
\text{Total change} = \text{Decrease} + \text{Increase} = -12 + 8 = -4
\]
Therefore, the integer that represents the change in the price of the stock over the week is \(-4\).