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Answer :
To describe the scenario of the leaking garden watering bucket, we can set up a simple linear equation. Here's how you can think about it:
1. Initial Amount: The bucket starts with 3000 milliliters of water.
2. Leak Rate: The bucket leaks 18 milliliters of water per minute.
3. Time: Let [tex]\( x \)[/tex] represent the number of minutes that pass.
4. Water Lost: For each minute, 18 milliliters is lost through the leak. So, after [tex]\( x \)[/tex] minutes, the total amount of water lost is [tex]\( 18 \times x \)[/tex].
5. Remaining Water: To find out how much water remains in the bucket after [tex]\( x \)[/tex] minutes, subtract the total water lost from the initial amount of water.
The equation for the remaining water [tex]\( y \)[/tex], after [tex]\( x \)[/tex] minutes is:
[tex]\[ y = 3000 - 18x \][/tex]
Here, [tex]\( y \)[/tex] is the amount of water left in the bucket, [tex]\( 3000 \)[/tex] is the initial milliliters of water, [tex]\( 18 \)[/tex] is the leak rate per minute, and [tex]\( x \)[/tex] is the number of minutes that have passed. This formula helps you calculate how much water remains in the bucket at any given time [tex]\( x \)[/tex].
1. Initial Amount: The bucket starts with 3000 milliliters of water.
2. Leak Rate: The bucket leaks 18 milliliters of water per minute.
3. Time: Let [tex]\( x \)[/tex] represent the number of minutes that pass.
4. Water Lost: For each minute, 18 milliliters is lost through the leak. So, after [tex]\( x \)[/tex] minutes, the total amount of water lost is [tex]\( 18 \times x \)[/tex].
5. Remaining Water: To find out how much water remains in the bucket after [tex]\( x \)[/tex] minutes, subtract the total water lost from the initial amount of water.
The equation for the remaining water [tex]\( y \)[/tex], after [tex]\( x \)[/tex] minutes is:
[tex]\[ y = 3000 - 18x \][/tex]
Here, [tex]\( y \)[/tex] is the amount of water left in the bucket, [tex]\( 3000 \)[/tex] is the initial milliliters of water, [tex]\( 18 \)[/tex] is the leak rate per minute, and [tex]\( x \)[/tex] is the number of minutes that have passed. This formula helps you calculate how much water remains in the bucket at any given time [tex]\( x \)[/tex].
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