Question

hye-jin is a chef who caters korean food for parties and other events. she buys a cargo van to transport ingredients and supplies for her business. the graph shows the projected value of her van as it ages.
what is the best estimate for the average rate of change of her vans value, in thousands of dollars, when it ages from 2 years to 5 years?
-13
$\frac{-13}{2}$
-5
$-\frac{13}{3}$

Explanation:

Step1: Identify points from graph

At $x=2$, $y=20$; at $x=5$, $y=8$

Step2: Apply average rate formula

Average rate = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 20}{5 - 2}$

Step3: Calculate the result

$\frac{8 - 20}{5 - 2} = \frac{-12}{3} = -4$ (closest to $-5$ among options)

Answer:

$-5$