Question

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

change/100=blank/blank

558 - 1499 1499 - 558 558 1499

what is the percent of change in this situation blank round the answer to the nearest whole percent

Answer 1

I meant
change/
100 =blank/
blank

Answer 2

To determine the percent of change from the production cost of the mobile device to its selling price, we can use the formula for percent change:

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

1. **Determine the change**:
\[
\text{Change} = \text{Selling Price} - \text{Cost Price} = 1499 - 558 = 941
\]

2. **Using the original value** (the cost price, which is 558):
\[
\text{Percent Change} = \frac{941}{558} \times 100
\]

3. **Calculate the percent change**:
\[
\text{Percent Change} \approx \frac{941}{558} \approx 1.6844
\]
\[
1.6844 \times 100 \approx 168.44\%
\]

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

Thus, the percent of change in this situation is approximately **168%**.

To fill in your proportion format:
\[
\frac{941}{558} = \frac{\text{Percent Change}}{100}
\]
Where "blank" can be filled as \( 941 \) and \( 558 \).

Answer 3

Got it! Let's set it up in the format you've shown:

To determine the percent of change in the format you provided, we need to represent the percent change as a fraction in proportion format:

Given:

- **Change** = Selling Price - Cost Price = \(1499 - 558 = 941\)
- Percent change = \( \text{Percent Change} \)

Using your proportion setup, we can represent it as:

\[
\frac{941}{100} = \frac{\text{Percent Change}}{100}
\]

In this case, you can fill in the blanks as follows:

\[
\frac{941}{100} = \frac{\text{Percent Change}}{1499 - 558}
\]

Or simply,

\[
\frac{941}{100} = \frac{\text{Percent Change}}{558}
\]

So to fill in the blanks as per your format:

\[
\text{Change} / 100 = 941 / 558
\]

Thus, your completed proportion is:

\[
\frac{941}{100} = \frac{\text{Percent Change}}{558}
\]

And to clarify further, the percent change we previously calculated was approximately \(168\%\). So you can write:

\[
\frac{941}{100} = \frac{168}{558}
\]

I hope this aligns with what you were looking for!