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timurjin [86]
2 years ago
8

How would the number of times edgardo uses a container to fill the 10 gallon cooler change if he uses a one cup container? Expla

in
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
8 0

Answer:

Edgardo would use the container <u>160 times</u> to fill.

Step-by-step explanation:

Given:

Edgardo uses a container to fill the 10 gallon cooler.

If he uses a one cup container.

Now, to find the times it would take to fill the 10 gallon container.

As, the capacity of container = 1 cup.

And, the capacity of cooler = 10 gallon.

So, we use conversion factor to find the times the container to fill the cooler:

1 gallon = 16 cups.

10 gallon = 10\times 16\ cups.

10 gallon = 160 cups.

<u><em>Thus, to fill the 10 gallon cooler 160 cups of container needed.</em></u>

<u><em>And, the container is of 1 cup.</em></u>

So, to get the times he would use the container we divide 160 by 1:

160\div 1=160.

<u><em>Hence, 160 times Edgardo would use the 1 cup container to fill the 10 gallon cooler.</em></u>

Therefore, Edgardo would use the container 160 times to fill.

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jarptica [38.1K]

Answer:

Part 2

The rate of change is 1 in increase in forearm length per 1 inch increase in foot length

Part 3

1) Foot length = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The data  presented here has a greater rate of change

5) Different data sources

6) Yes

7) Yes

Step-by-step explanation:

Part 2

The data are as follows

Forearm             Foot

9.25                    8.5

10.25                   9.5

9.75                     9

10.75                    10

8.75                       8

To find the rate of change, we have;

For points

(x₁, y₁) = (9.25, 8.5) and (x₂, y₂) = (8.75, 8) we have;

Rate of change = (y₂ - y₁)/(x₂ - x₁) substituting the values we arrive at

(8.75 - 9.25)/(8 - 8.5) = 1

The rate of increase of foot to forearm is 1 to 1. That is there is an increase of 1 in in forearm length for every inch increase in foot length

The rate of change is 1 in increase in forearm length per 1 inch increse in foot length

Part 3

1) For a person with length of forearm, x = 17 inches long, we have;

Length of foot, y = 0.860·x + 3.302

Plugging in the values, we have;

y = 0.860×17 + 3.302 = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The rate of change from part A = 0.860, Therefore, the data  presented here has a greater rate of change

5) The values are different because of they are derived from a non corresponding sources

6) Yes the relation is a function because the length of the foot is a function of the length of the forearm

From the equation of a straight line, we have;

y = mx + c

Where:

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Therefore; for forearm, y = 9.25, we have

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∴ c = 9.5 - 8.5 = 1

The equation of the function becomes;

y = x + 1

7) for the equation in part A given by

y = 0.860·x + 3.302

Yes the equation in part A can represent a function because it maps each value of x to a unique value of y

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