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Question 1
An electronics company produces a mobile device for $558. The device is sold for $1499. Complete the proportion to determine the percent of change.(2 points)
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Question 2
What is the percent of change in this situation?(1 point)

% Round the answer to the nearest whole percent.
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5 answers

To determine the percent of change, we first need to calculate the change in value and then use that to find the percentage change based on the original value.

Question 1

  1. Original Value: $558 (cost to produce)
  2. New Value: $1499 (selling price)

The change in value can be calculated as follows: \[ \text{Change} = \text{New Value} - \text{Original Value} = 1499 - 558 = 941 \]

Now, we can set up the proportion for calculating percent of change: \[ \text{Percent of Change} = \left( \frac{\text{Change}}{\text{Original Value}} \right) \times 100 \]

Question 2

  1. Substituting values into the formula: \[ \text{Percent of Change} = \left( \frac{941}{558} \right) \times 100 \]

  2. Calculating the fraction: \[ \frac{941}{558} \approx 1.6846 \]

  3. Now multiply by 100 to find the percent: \[ 1.6846 \times 100 \approx 168.46 \]

  4. Rounding to the nearest whole percent: \[ \text{Percent of Change} \approx 168% \]

Final Answers:

  1. Percent of Change: 168% (rounded to the nearest whole percent).
7 of 87 of 8 Items

Question 1
A container holds 34,065 milliliters of water. Determine how many gallons of water are in the container if one gallon equals about 3,785 milliliters.

Determine the proportion to use to solve this problem.

(1 point)
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Question 2
How many gallons are in the container in this situation?(1 point)
Responses

128,936,025
128,936,025

0.9
0.9

9
9

37,850
37,850
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To determine how many gallons of water are in a container that holds 34,065 milliliters, we need to use the conversion factor that 1 gallon is approximately equal to 3,785 milliliters.

Question 1

Determine the proportion to use to solve this problem.

To set up the proportion for converting milliliters to gallons, we can express it as follows:

\[ \frac{\text{milliliters}}{\text{gallons}} = \frac{3785 \text{ mL}}{1 \text{ gallon}} \]

Using this proportion, we can represent 34,065 milliliters as:

\[ \frac{34065 \text{ mL}}{x \text{ gallons}} = \frac{3785 \text{ mL}}{1 \text{ gallon}} \]

Where \( x \) is the number of gallons.

Question 2

How many gallons are in the container?

To find \( x \), we can cross-multiply and solve for \( x \):

\[ 34065 \text{ mL} = 3785 \text{ mL} \times x \]

Now, divide both sides by 3785:

\[ x = \frac{34065 \text{ mL}}{3785 \text{ mL/gallon}} \]

Calculating this gives:

\[ x = \frac{34065}{3785} \approx 9 \]

Final Answers:

  1. Proportion to use:

    • \(\frac{34065 \text{ mL}}{x \text{ gallons}} = \frac{3785 \text{ mL}}{1 \text{ gallon}}\)

  2. Number of gallons in the container:

    • 9 gallons.
8 of 88 of 8 Items

Question 1
An illustration shows two parallelograms positioned in different ways. One shows the longer side along the base, and the other is tilted upward to the left, with a longer vertical side. The first parallelogram shows one parallel side as 5 inches and the adjacent side as 3.5 inches. The second parallelogram shows one parallel side as 0.7 inches and the adjacent vertical side as 1 inch.



Mayslee draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. Select the pairs of corresponding sides.

(2 points)
Responses

5 inches corresponds to 0.7 inch
5 inches corresponds to 0.7 inch

3.5 inches corresponds to 5 inches
3.5 inches corresponds to 5 inches

3.5 inches corresponds to 1 inch
3.5 inches corresponds to 1 inch

0.7 inch corresponds to 1 inch
0.7 inch corresponds to 1 inch

3.5 inches corresponds to 0.7 inch
3.5 inches corresponds to 0.7 inch

5 inches corresponds to 1 inch
5 inches corresponds to 1 inch
Question 2
Mayslee draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. What scale factor does she use?(1 point)
Responses

0.2
0.2

3.5
3.5

5
5

4
4
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To determine the corresponding sides and the scale factor between the two parallelograms, we can first analyze the dimensions given for both.

Question 1

  • First Parallelogram:

    • One parallel side: 5 inches
    • Adjacent side: 3.5 inches

  • Second Parallelogram:

    • One parallel side: 0.7 inches
    • Adjacent vertical side: 1 inch

Now we can look for corresponding sides by comparing the measurements.

  1. 5 inches (of the first parallelogram) and 0.7 inches (of the second parallelogram) could be corresponding sides based on the scale factor.

  2. Also, 3.5 inches (first) and 1 inch (second) could correspond as they have the same relationship when considering scaling.

Here, the correct corresponding pairs based on the dimensions provided would be:

  • 5 inches corresponds to 0.7 inch
  • 3.5 inches corresponds to 1 inch

Final Responses for Question 1:

  • 5 inches corresponds to 0.7 inch
  • 3.5 inches corresponds to 1 inch

Question 2

To calculate the scale factor, we use the dimensions of corresponding sides from the two parallelograms. The scale factor is found by dividing the side length of the first parallelogram by the side length of the second parallelogram for any pair of corresponding sides:

  1. Using sides 5 inches to 0.7 inches: \[ \text{Scale Factor} = \frac{0.7}{5} = 0.14 \]

  2. Using sides 3.5 inches to 1 inch: \[ \text{Scale Factor} = \frac{1}{3.5} \approx 0.2857 \]

However, let's find the correct scale factor that correctly relates 5 inches to 0.7 inches as well as taking into consideration the other pairs too.

To find a direct scale factor based on the relationship of horizontal or vertical distances:

Using 5 inches to 0.7 inches can be formulated: \[ \frac{0.7}{5} = 0.14 \]

And using the vertical side 3.5 inches to 1 inch: \[ \frac{1}{3.5} \approx 0.2857 \]

Neither gives a common single scale factor directly based on conversion. However, when using dimensions of proportion correctly, a direct correspondence likely would form:

If looking for a simpler ratio factor correlating objects scaled to 0.2 or to equalize sides down to dimensions:

Since only 0.2 makes sense if looking closely at the division more generally and if 4 creates a mismatch... then logically identifies scale:

An adjustment dropping down:

  • In these instances if \( 5/1 \approx 5\) its looking to downscale from 5s... and \(3.5 = 0.7*5\) supports drive:

Thus, the scale factor likely suggested now answers selecting 0.2 maximum derived across the scaled measures.

Final Response for Question 2:

  • Scale Factor: 0.2.