#### Answer

$19.36\%$ decrease

#### Work Step by Step

First, find the decrease in value:
$=\$93,500-\$75,400
\\=\$18,100$
RECALL:
$\text{percent decrease}=\dfrac{\text{decrease in value}}{\text{original value}}$
The given problem has:
original value =$\$93,500$
increase in value = $\$18,100$
Solve for the percent decrease using the formula above to obtain:
percent decrease
$= \dfrac{18100}{93500}
\\=0.1935828877
\\=0.1935828877 \times 100\%
\\=19.35828877\%
\\\approx 19.36\%$
Thus, there was a $19.36\%$ decrease in the value of the house.