Question

rate of change - slope quick check
find the rate of change.
(1 point)

• 100: the value drops $100 every year.

$-\frac{100}{3}$: the value drops $100 every 3 years.

• 3: the value drops $3 every year.
• 1: the value drops $1 every year.

Explanation:

Step1: Identify two points

We can see from the graph that the line passes through (0, 400) and (12, 0).

Step2: Calculate the slope (rate of change)

The formula for slope (rate of change) is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Substituting the points (0, 400) as $(x_1,y_1)$ and (12, 0) as $(x_2,y_2)$:
$m=\frac{0 - 400}{12 - 0}=\frac{-400}{12}=-\frac{100}{3}$ (simplifying the fraction). This means the value drops $100 every 3 years.

Answer:

$-\frac{100}{3}$; The value drops $100 every 3 years.