Question

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%**.