Question
Problem Solving 22. Lisa's stock fund changed by -81c during a 3-day period. If it changed at the same rate each day, what is the rate?
Ask by Griffiths Bob. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The daily rate of change is -27c.
Solution
To find the daily rate of change of Lisa's stock fund, we can follow these steps:
1. **Identify the total change and the number of days**:
- Total change over 3 days = -81c
- Number of days = 3
2. **Calculate the daily rate of change**:
- The daily rate can be found by dividing the total change by the number of days.
The formula for the daily rate \( r \) is:
\[
r = \frac{\text{Total Change}}{\text{Number of Days}}
\]
Substituting the known values:
\[
r = \frac{-81c}{3}
\]
Now, let's perform the calculation:
\[
r = -27c
\]
Thus, the rate of change of Lisa's stock fund each day is \(-27c\).
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Simplify this solution Extra Insights
To find the daily rate of change, you can divide the total change by the number of days. Since Lisa’s stock fund changed by -81 cents over 3 days, you can perform the calculation: -81 cents ÷ 3 days = -27 cents per day. So, Lisa's stock fund dropped by 27 cents each day. A common mistake to avoid in this kind of problem is mixing up the signs. Remember, since the fund lost value, you'll want to keep track of the negative sign so that you correctly report it as a loss rather than a gain. Always double-check your calculations!
