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

Answer 1

To find the percent of change between the cost price and the selling price of the mobile device, we can use the formula for percent change:

\[ \text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \]

In this case:

• The old value (cost price) is $558.
• The new value (selling price) is $1499.

Now we can plug these values into the formula:

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

Calculating the difference:

\[ 1499 - 558 = 941 \]

Now, substituting this back into the formula:

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

Now perform the division:

\[ \frac{941}{558} \approx 1.6847 \]

Now, multiply by 100 to get the percent:

\[ 1.6847 \times 100 \approx 168.47 \]

Therefore, the percent of change is approximately 168.47%.