the value, v, of a shopkeepers inventory software program is given by v= -(1)/(3)t+5 where t is the number of years since the shopkeeper bought the program. What is the program worth 9 years after its first year purchased? Plot the point with the given t-value, 9.
after 9 years the program is worth $2
After how many years is the value of the software $3?
Substitute $3 for v to get
3=-(1/3)t+5
Solve for t.
To find out after how many years the value of the software is $3, we need to solve the equation for t in the given formula for the value.
The formula given is: v = -(1/3)t + 5
We want to find t when v is equal to $3, so we can substitute v with 3 in the equation:
3 = -(1/3)t + 5
To isolate t, we can start by subtracting 5 from both sides of the equation:
3 - 5 = -(1/3)t
-2 = -(1/3)t
Next, to isolate t, we can multiply both sides of the equation by -3 (to cancel out the negative):
-2 * -3 = t
6 = t
So, after 6 years, the value of the software program is $3.
If you need any further assistance, feel free to ask!