Answer:
The given equation for the value of the car is:
v = -1,900t + 30,000
The slope of this equation represents the rate at which the value of the car is decreasing over time (t). In this equation, the coefficient of t, which is -1,900, is the slope.
So, the slope is -1,900 dollars per year.
To find when the car will be worth $22,400, you can set v to 22,400 and solve for t:
22,400 = -1,900t + 30,000
Subtract 30,000 from both sides:
-7,600 = -1,900t
Now, divide both sides by -1,900 to isolate t:
t = -7,600 / -1,900 = 4
So, the car will be worth $22,400 in 4 years after it is purchased.