Question

Ava purchased a car for $24,398. The dealer told Ava that the car lose will all of its value in 23 years. If the car depreciates in a

straight line, what is the slope of the line? Express your answer as a decimal rounded to the nearest thousandth.

Answer 1

Check the picture below.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

`(\stackrel{x_1}{0}~,~\stackrel{y_1}{24398})\qquad (\stackrel{x_2}{23}~,~\stackrel{y_2}{0}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{0}-\stackrel{y1}{24398}}}{\underset{\textit{\large run}} {\underset{x_2}{23}-\underset{x_1}{0}}} \implies \stackrel{ \textit{the car is losing about \$1060.783 every year} }{- \cfrac{24398}{23}~~\approx~~ -1060.783}`