A 2 -liter bottle is full of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain why or why not. ( 1 liter \( =1,000 \) milliliters)
Real Tutor Solution
Answer
Solution
Reviewed and approved by the UpStudy tutoring team
Explain 
Simplify this solution The Deep Dive
In one hour, there are 60 minutes. Given that the bottle leaks 80 milliliters every 3 minutes, we can calculate how much it leaks in 60 minutes. First, we find out how many 3-minute intervals are in 60 minutes, which is 20 intervals (60 divided by 3). Therefore, the total leakage in one hour will be \( 20 \times 80 = 1,600 \) milliliters. Since 1 liter equals 1,000 milliliters, the bottle has 2,000 milliliters. With a leakage of 1,600 milliliters in 1 hour, the bottle won't be empty yet; it will still have \( 2,000 - 1,600 = 400 \) milliliters left at the end of the hour. So, the bottle won’t be empty in one hour! Calculating leak rates can be quite handy for various scenarios, like keeping a check on the water supply in your home or organizing routine maintenance for any container. It’s amazing how a little math can save you from potential water wastage or unexpected floods! If you find yourself in situations like this often, consider keeping a mathematical log or using a spreadsheet to track leak rates and predict when you'll need to refill or fix something. Small mistakes might include miscalculating intervals, so always double-check those numbers to avoid unnecessary surprises!
