Answer :
Will could have put 8 ounces of water in each cup.
1. Total Water in Cooler: Will started with 144 ounces of water.
2. Water Used for His Bottle: He used 16 ounces for himself.
Remaining water: 144 - 16 = 128 ounces.
3. Number of Cups: He distributed the remaining water into 16 cups.
4. Water per Cup Calculation:
Let x be the amount of water in each cup.
Equation: 16x = 128.
Solve for x:
x = 128 ÷ 16.
x = 8.
Graphing on a Number Line
The correct answer is x = 8.
To graph this, mark 8 on the number line and highlight it as the solution.
The number line graph representing the solution, where x = 8.
Sure! Let's go through the problem step-by-step to find the answer.
1. Initial Amount of Water:
- Will starts with a cooler that has 144 ounces of water.
2. Water Used for the Bottle:
- He uses 16 ounces of water from the cooler to fill his water bottle.
So, the amount of water left in the cooler after filling his water bottle is:
[tex]\[
\text{Remaining water} = 144 \text{ ounces} - 16 \text{ ounces} = 128 \text{ ounces}
\][/tex]
3. Water Allocation for the Cups:
- Will has 16 plastic cups, and he wants to distribute the remaining 128 ounces of water equally among these cups.
To find out how much water goes into each cup, we divide the remaining water by the number of cups:
[tex]\[
\text{Water per cup} = \frac{\text{Remaining water}}{\text{Number of cups}} = \frac{128 \text{ ounces}}{16 \text{ cups}} = 8 \text{ ounces per cup}
\][/tex]
4. Graphing the Number of Ounces on a Number Line:
- The possible value of [tex]\( x \)[/tex], which represents the number of ounces of water that Will put in each cup, is 8 ounces.
### Summary:
- After using 16 ounces for his water bottle, Will has 128 ounces left in the cooler.
- He evenly distributes this water into 16 plastic cups, resulting in each cup containing 8 ounces of water.
To visualize on the number line:
- Draw a number line ranging from 0 to at least 10 (since our value will be 8).
- Mark the point [tex]\( x = 8 \)[/tex] on the number line.
So, the graph should have a mark at 8.
I hope this helps! Let me know if you have any more questions.
1. Initial Amount of Water:
- Will starts with a cooler that has 144 ounces of water.
2. Water Used for the Bottle:
- He uses 16 ounces of water from the cooler to fill his water bottle.
So, the amount of water left in the cooler after filling his water bottle is:
[tex]\[
\text{Remaining water} = 144 \text{ ounces} - 16 \text{ ounces} = 128 \text{ ounces}
\][/tex]
3. Water Allocation for the Cups:
- Will has 16 plastic cups, and he wants to distribute the remaining 128 ounces of water equally among these cups.
To find out how much water goes into each cup, we divide the remaining water by the number of cups:
[tex]\[
\text{Water per cup} = \frac{\text{Remaining water}}{\text{Number of cups}} = \frac{128 \text{ ounces}}{16 \text{ cups}} = 8 \text{ ounces per cup}
\][/tex]
4. Graphing the Number of Ounces on a Number Line:
- The possible value of [tex]\( x \)[/tex], which represents the number of ounces of water that Will put in each cup, is 8 ounces.
### Summary:
- After using 16 ounces for his water bottle, Will has 128 ounces left in the cooler.
- He evenly distributes this water into 16 plastic cups, resulting in each cup containing 8 ounces of water.
To visualize on the number line:
- Draw a number line ranging from 0 to at least 10 (since our value will be 8).
- Mark the point [tex]\( x = 8 \)[/tex] on the number line.
So, the graph should have a mark at 8.
I hope this helps! Let me know if you have any more questions.
