Ask a New Question
Menu

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

3 answers

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 \( 558 \).

I meant
change/
100 =blank/
blank

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!