Suppose the stock market gains the same amount, m , 4 days in a row. Which air quality shows how much the stock market could gain per day but must be less than 376 points above its starting point?
A: 4m < 376
B: m/4 > 376
C: 4m > 376
D: m/4 < 376
D: m/4 < 376
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Of course! Let's break down the problem step by step:
Given information:
- The stock market gains the same amount, m, 4 days in a row.
We need to find an inequality that represents the maximum amount the stock market could gain per day, which must be less than 376 points above its starting point.
Let's denote the stock market's starting point as S.
After 4 days, the stock market would have gained a total of 4m points.
This total gain must be less than 376 points above its starting point:
4m < S + 376
To find how much the stock market could gain per day, we should look at the average daily gain over the 4 days:
(4m) / 4 < (S + 376) / 4
m < (S + 376) / 4
So, the inequality we're looking for is m/4 < 376. Therefore, the correct option is:
D: m/4 < 376
I hope this helps! Let me know if you have any more questions.