It takes 76 gallons of water to produce 4 ounces of oatmeal. complete the table.

Question

the chart

ounces of oatmeal gallons of water
2 38
4 76
10

fill out the chart

Answer 1

To complete the chart, we can find the relationship between the ounces of oatmeal and the gallons of water. From the information provided:

• It takes 76 gallons of water to produce 4 ounces of oatmeal.

This means that every ounce of oatmeal requires:

\[ \text{Gallons per ounce} = \frac{76 \text{ gallons}}{4 \text{ ounces}} = 19 \text{ gallons/ounce} \]

Now, we can use this relationship to fill out the rest of the chart.

1. For 2 ounces of oatmeal: \[ \text{Gallons of water} = 2 \text{ ounces} \times 19 \text{ gallons/ounce} = 38 \text{ gallons} \]

2. For 4 ounces of oatmeal (this entry is already provided in the table): \[ 4 \text{ ounces} \rightarrow 76 \text{ gallons} \]

3. For 10 ounces of oatmeal: \[ \text{Gallons of water} = 10 \text{ ounces} \times 19 \text{ gallons/ounce} = 190 \text{ gallons} \]

Now, we can fill in the completed chart:

| Ounces of Oatmeal | Gallons of Water | |-------------------|------------------| | 2 | 38 | | 4 | 76 | | 10 | 190 |

Answer 2

what number come next

Answer 3

To find the next number in the sequence of oatmeal production, we can look at the table we've created:

| Ounces of Oatmeal | Gallons of Water | |-------------------|------------------| | 2 | 38 | | 4 | 76 | | 10 | 190 |

Next, let’s examine the pattern in the gallons of water. Notice how the gallons of water increase as the ounces of oatmeal increase.

To see how water usage increases, we can calculate:

• From 2 ounces to 4 ounces, the increase in water is: \[ 76 - 38 = 38 \text{ gallons} \]

• From 4 ounces to 10 ounces, the increase in water is: \[ 190 - 76 = 114 \text{ gallons} \]

It looks like the increase between each step is not consistent, but we can check if there’s a specific pattern assessed by the water used per ounce. The calculations already established that each ounce of oatmeal requires 19 gallons of water. If we want to try further increments or the next sensible step, we can find the water amount at, for instance, 12 ounces.

Calculating for 12 ounces: \[ \text{Gallons of water} = 12 \text{ ounces} \times 19 \text{ gallons/ounce} = 228 \text{ gallons} \]

Thus the table would extend to:

| Ounces of Oatmeal | Gallons of Water | |-------------------|------------------| | 2 | 38 | | 4 | 76 | | 10 | 190 | | 12 | 228 |

If you meant another number or series continuation, please specify the context to clarify!

Answer 4

is this proportional

x 2 5 8 12
y 8 20 32 48

Answer 5

To determine whether the relationship between the \(x\) values and \(y\) values is proportional, we need to check if the ratios \( \frac{y}{x} \) are the same for all pairs \((x, y)\).

Let’s calculate the ratios for each pair:

1. For \(x = 2\), \(y = 8\): \[ \frac{y}{x} = \frac{8}{2} = 4 \]

2. For \(x = 5\), \(y = 20\): \[ \frac{y}{x} = \frac{20}{5} = 4 \]

3. For \(x = 8\), \(y = 32\): \[ \frac{y}{x} = \frac{32}{8} = 4 \]

4. For \(x = 12\), \(y = 48\): \[ \frac{y}{x} = \frac{48}{12} = 4 \]

In all cases, the ratio \( \frac{y}{x} \) is equal to 4. Since the ratio is constant for all pairs, we conclude that the relationship is proportional.

Conclusion:

Yes, the sets \(x\) and \(y\) are proportional.

Answer 6

is this proportional

time (min) distance(ft)
2 6
4 12
6 18

Answer 7

To determine whether the relationship between the time (in minutes) and distance (in feet) is proportional, we need to check if the ratios \( \frac{\text{distance}}{\text{time}} \) are the same for all pairs of \((\text{time}, \text{distance})\).

Let’s calculate the ratios for each pair:

1. For \( \text{time} = 2 \) minutes, \( \text{distance} = 6 \) feet: \[ \frac{\text{distance}}{\text{time}} = \frac{6 \text{ ft}}{2 \text{ min}} = 3 \text{ ft/min} \]

2. For \( \text{time} = 4 \) minutes, \( \text{distance} = 12 \) feet: \[ \frac{\text{distance}}{\text{time}} = \frac{12 \text{ ft}}{4 \text{ min}} = 3 \text{ ft/min} \]

3. For \( \text{time} = 6 \) minutes, \( \text{distance} = 18 \) feet: \[ \frac{\text{distance}}{\text{time}} = \frac{18 \text{ ft}}{6 \text{ min}} = 3 \text{ ft/min} \]

Since the ratio \( \frac{\text{distance}}{\text{time}} \) is the same for all pairs (equal to \(3 \text{ ft/min}\)), the relationship between time and distance is proportional.

Conclusion:

Yes, the relationship between time (in minutes) and distance (in feet) is proportional.