Question

9. A new automobile costs $23,782,

but after one year it is worth
$17,668. What is the approximate
percent of decrease in the value of
the automobile?

Answer 1

the decrease is 23782 - 17668 = 6114.

if we take 23782 to be the 100%, what is 6114 off of it in percentage?

`\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 23782&100\\ 6114&x \end{array}\implies \cfrac{23782}{6114}=\cfrac{100}{x}\implies 23782x=611400 \\\\\\ x=\cfrac{611400}{23782}\implies x\approx 25.71`

Answer 2

% decrease in the cost= 6114/23782⋅100=25.71%

Explanation:

The decrease in the cost =$23782−$17668=$6114

Hence, % decrease in the cost=6114/23782⋅100=25.71%