Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of minutes Lola needs to sign all 96 invitations? 3.3 minutes 3.3125 minutes 8.48 minutes 8.5 minutes
The correct answer and explanation is:
Correct Answer: 8.48 minutes
✅ Step-by-Step Explanation:
Lola needs to sign 96 invitations, and it takes her 5.3 seconds to sign each one.
🧮 Step 1: Multiply the number of invitations by the time per signature
96 invitations×5.3 seconds/invitation=508.8 seconds96 \text{ invitations} \times 5.3 \text{ seconds/invitation} = 508.8 \text{ seconds}
🧮 Step 2: Convert seconds to minutes
There are 60 seconds in a minute. So: 508.8 seconds60 seconds/minute=8.48 minutes\frac{508.8 \text{ seconds}}{60 \text{ seconds/minute}} = 8.48 \text{ minutes}
🎯 Step 3: Choose the most accurate determination from the options:
- 3.3 minutes → too small
- 3.3125 minutes → also too small (and inaccurate)
- 8.48 minutes ✅ Correct (this is the accurate conversion)
- 8.5 minutes → slightly rounded up, but not the most accurate
📌 Why 8.48 minutes is the most accurate:
The question specifies accuracy based on the stopwatch, which measures to the tenth of a second. Since 5.3 seconds is already precise to one decimal place, we need to carry that precision through the calculation.
By multiplying precisely and converting properly to minutes, we get 8.48 minutes, which is not rounded and thus maintains the accuracy dictated by the precision of the original timing device.
✅ Final Answer:
8.48 minutes is the most accurate determination of how long Lola will take to sign all 96 invitations.