Answer :
Each cup could have 8 ounces of water. The graph should represent x = 8 as a point on the number line.
1. Understanding the Problem:
- Will had 144 ounces of water.
- He used 16 ounces for his water bottle.
- The remaining water is 144 - 16 = 128 ounces.
- He filled 16 plastic cups with equal amounts of water.
2. Setting Up the Equation:
- Let x be the number of ounces in each cup.
Since he distributed 128 ounces equally among 16 cups, we set up the equation:
128 = 16x
3. Solving for x:
Divide both sides by 16:
x = 128 ÷ 16
x = 8 ounces per cup.
4. Graphing the Solution:
The solution should be plotted at x = 8 on the number line.
Since x represents a specific quantity, it should be marked as a closed point at 8.
This means each cup received 8 ounces of water.
The number line:
The graph represents the number line with a closed dot at x = 8, indicating the solution.
Sure! Let's solve the problem step-by-step.
1. Start with the total amount of water: Will brought a cooler filled with 144 ounces of water.
2. Fill the water bottle: Will used 16 ounces to fill his water bottle. So, we need to subtract this amount from the total water in the cooler.
[tex]\[
\text{Water remaining} = 144 - 16 = 128 \, \text{ounces}
\][/tex]
Now there are 128 ounces of water left in the cooler.
3. Distribute the water into cups: Will took out 16 plastic cups for his teammates and wants to put the same amount of water into each cup.
4. Calculate the amount of water per cup: We divide the remaining water by the number of cups to find out how much water goes into each cup.
[tex]\[
x = \frac{128}{16} = 8 \, \text{ounces per cup}
\][/tex]
So, Will could put 8 ounces of water in each cup.
5. Graph the result on a number line: We would represent this on a number line by marking the value 8, as this is the amount of water in each cup.
In summary, Will can put 8 ounces of water in each of the 16 cups.
1. Start with the total amount of water: Will brought a cooler filled with 144 ounces of water.
2. Fill the water bottle: Will used 16 ounces to fill his water bottle. So, we need to subtract this amount from the total water in the cooler.
[tex]\[
\text{Water remaining} = 144 - 16 = 128 \, \text{ounces}
\][/tex]
Now there are 128 ounces of water left in the cooler.
3. Distribute the water into cups: Will took out 16 plastic cups for his teammates and wants to put the same amount of water into each cup.
4. Calculate the amount of water per cup: We divide the remaining water by the number of cups to find out how much water goes into each cup.
[tex]\[
x = \frac{128}{16} = 8 \, \text{ounces per cup}
\][/tex]
So, Will could put 8 ounces of water in each cup.
5. Graph the result on a number line: We would represent this on a number line by marking the value 8, as this is the amount of water in each cup.
In summary, Will can put 8 ounces of water in each of the 16 cups.
