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An airfare changed from $180 to $190.Which of these shows the expression of the percentage change?a.  1018010180 × 100%b.  1019010190 × 100%c.  180190180190 × 100%d.  190180190180 × 100%

Question

An airfare changed from 180to180 to 190.Which of these shows the expression of the percentage change?a.  1018010180 × 100%b.  1019010190 × 100%c.  180190180190 × 100%d.  190180190180 × 100%

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Solution

The percentage change in a quantity is given by the formula:

Percentage change = (Final value - Initial value) / Initial value * 100%

Here, the initial value is 180andthefinalvalueis180 and the final value is 190.

So, the percentage change is (190 - 180) / 180 * 100%

This simplifies to 10 / 180 * 100%

So, none of the options a, b, c, d correctly represent the expression for the percentage change.

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