an electronics company produces a mobile device for $558. the device is sold for $1499. complete the proportion to determine the percent of change.

Question

change/100=?/?
use the answers to fill in the question marks.
a. 558-1499
b. 1499-558
c. 558
d. 1499
what is the percent of change in this situation?
?% round the answer to the nearest whole percent.

Answer 1

To determine the percent of change, we can use the formula:

\[ \text{Percent of Change} = \frac{\text{Change}}{\text{Original Value}} \times 100 \]

In this case, we want to find the change in price from the cost to the selling price.

1. Identify the original value (the cost of the device) and the new value (the selling price):

   • Original Value = \( 558 \)
   • New Value = \( 1499 \)

2. Calculate the change: \[ \text{Change} = \text{New Value} - \text{Original Value} = 1499 - 558 = 941 \]

3. Now we can fill in the proportion: \[ \text{Change}/100 = 941/? \quad \text{and } \quad 558 \text{ is the original value} \] So, the proportion is: \[ 941/100 = 558/? \]

From the calculation above, we already found the change to be \( 941 \).

4. Now we can calculate the percent of change: \[ \text{Percent of Change} = \frac{941}{558} \times 100 \approx 168.5% \]

Rounding to the nearest whole percent gives us:

\[ \text{Percent of Change} \approx 169% \]

Final answers:

• The completed proportion is \( 941/100 = 558/? \)
• The percent of change is approximately 169%.

Answer 2

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.
?/?=?/?
fill in the question marks with the following answer choices.
a. x gallons
b. 1 gallon
c. x milliliters
d. 1 milliliters
e. 3,785 milliliters
f. 34,065 milliliters
how many gallons are in the container in this situation?
a. 128,936,025
b. 0.9
c. 9
d. 37,850

Answer 3

To convert milliliters to gallons using proportions, we can set up the ratio as follows, where we want to express the relationship between milliliters and gallons:

\[ \text{milliliters}/\text{gallons} = \text{milliliters}/\text{gallons} \]

Given Information:

• 1 gallon = 3,785 milliliters
• The container holds 34,065 milliliters of water.

Setting Up the Proportion:

We can use the provided options to fill in the proportion as follows:

\[ \text{?}/\text{?}=\text{?}/\text{?} \]

Filling in the proportion with the given choices:

• Left side (milliliters to gallons): \( 34,065 \text{ milliliters} / x \text{ gallons} \)
• Right side (gallons to milliliters): \( 1 \text{ gallon} / 3,785 \text{ milliliters} \)

So, the proportion becomes: \[ 34,065 / x = 1 / 3,785 \]

Using the answer choices listed, we can map them as follows:

• ? = \( 34,065 \) (Choice f)
• ? = \( x \) gallons (Choice a)
• ? = \( 1 \) gallon (Choice b)
• ? = \( 3,785 \) milliliters (Choice e)

Thus, the filled proportion would look like this: \[ 34,065/ x = 1/3,785 \]

Solving for \( x \):

Now, cross-multiply to solve for \( x \): \[ 34,065 \times 1 = x \times 3,785 \] \[ 34,065 = x \times 3,785 \] Now, divide both sides by \( 3,785 \): \[ x = \frac{34,065}{3,785} \] \[ x \approx 9 \]

Final Answers:

• The proportion to use is \( 34,065/x = 1/3,785 \).
• The number of gallons in the container is approximately 9 gallons.

Therefore, the answer is c. 9.

Answer 4

______________________
|. . . . . . . . . . . . . . . . . . . . . |
|. . . . . . . . . . . . . . . . . . . . . | 3.5 in.
|. . . . . . . . . . . . . . . . . . . . . |
|.____________________.|
..................5in....................
______
|. . . . . .|
|. . . . . .|. .1 in.
|. . . . . .|
|_____.|
..0.7 in..
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.
a. 3.5 inches corresponds to 5 inches
b. 5 inches corresponds to 0.7 inch
c. 5 inches corresponds to 1 inch
d. 3.5 inches corresponds to 1 inch
e. 3.5 inches corresponds to 0.7 inch
f. 0.7 inch corresponds to 1 inch
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?
a. 0.2
b. 3.5
c. 5
d. 4

Answer 5

To determine the corresponding sides of the parallelograms and the scale factor Mayslee uses to create the right parallelogram from the left one, let's analyze the dimensions provided.

Given Dimensions:

• Left Parallelogram:

  • Height: 3.5 inches
  • Base: 5 inches

• Right Parallelogram:

  • Height: 1 inch
  • Base: 0.7 inches

Finding Corresponding Sides:

We need to identify the pairs of corresponding sides from the left and right parallelograms.

Comparing the dimensions:

1. Height:

   • Left: 3.5 inches
   • Right: 1 inch
   • This indicates that height in the left parallelogram corresponds to the height in the right.

2. Base:

   • Left: 5 inches
   • Right: 0.7 inches
   • This indicates that the base in the left parallelogram corresponds to the base in the right.

From above comparisons, we can thus make the following correspondences:

• a. 3.5 inches corresponds to 1 inch (Height)
• b. 5 inches corresponds to 0.7 inches (Base)

Scale Factor Calculation:

To find the scale factor, we can take the ratio of the dimensions from the left parallelogram to the corresponding dimensions from the right parallelogram.

• For height: \[ \text{Scale Factor} = \frac{\text{Left height}}{\text{Right height}} = \frac{3.5}{1} = 3.5 \]

• For the base: \[ \text{Scale Factor} = \frac{\text{Left base}}{\text{Right base}} = \frac{5}{0.7} \approx 7.14 \]

Since we want a common scale factor that works for both pairs, we can confirm that a consistent scaling method gives us \(3.5\) from comparing left height to right height.

Final Answers:

• Corresponding sides:

  • Correspondence pairs:
    • a. 3.5 inches corresponds to 1 inch
    • b. 5 inches corresponds to 0.7 inches

• Scale factor used:

  • Scale factor: b. 3.5.

Thus, the correct responses are that a height of 3.5 inches corresponds to 1 inch, a base of 5 inches corresponds to 0.7 inches, and the scale factor is 3.5.