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%.