The value of many things we own depreciates over time. When an asset's value decreases by a fixed amount each year, the depreciation is called straight-line depreciation. Suppose your Ford Escape from Exercise 1 depreciates $1950 per year.

a.Let v represent the value of your ford Escape after t years. Write a symbolic.

b. What is the value of the car after 4 years?

c. How long will it take for the value of the car to decrease below $5000?

note the Ford Escape from exercise 1 has a $4500 credit toward purchase of new car and the car payments are $420 a month.

a. V = C - 1950t.

C = Cost.

b . V = C - 1950*4.

c. V = C - 1950t = $5000.
-1950t = 5000 - C.
t = (5000-C) / -1950.

a. To represent the value of your Ford Escape after t years, you can use a symbolic expression. Letting v represent the value, the symbol expression would be:

v = initial value - depreciation per year * t

In this case, the initial value refers to the starting value of the Ford Escape, which we do not have information about. We can substitute the given depreciation per year, which is $1950, into the equation.

b. To find the value of the car after 4 years, we can substitute t = 4 into the symbolic expression obtained in part (a). Let's assume the initial value of the car is represented by V_initial:

v = V_initial - depreciation per year * t
v = V_initial - $1950 * 4
v = V_initial - $7800

So, the value of the car after 4 years would be V_initial - $7800.

c. To determine how long it will take for the value of the car to decrease below $5000, we can set up an equation with the symbolic expression and solve for t. Assuming the initial value of the car is represented by V_initial:

$5000 = V_initial - $1950 * t

Rearranging the equation to solve for t:

$1950 * t = V_initial - $5000
t = (V_initial - $5000) / $1950

The equation shows that the time it will take for the value of the car to fall below $5000 depends on the initial value of the car.