Since each year the car depreciates $2000, independently of the initial value, we can represent the car worth by the equation:
[tex]\text{current worth=initial value-2000(number of years)}_{}[/tex]
a) Using the variables mentioned in the problem, the equation is:
[tex]y=24000-2000x[/tex]
b) We need to set y=16000 and solve for x, as follows:
[tex]\begin{gathered} 16000=24000-2000x \\ \Rightarrow2000x=24000-16000=8000 \\ \Rightarrow x=\frac{8000}{2000}=4 \end{gathered}[/tex]
Then, after 4 years, the car's value will be $16,000.
c) To graph it more easily I will reduce the scale by a factor of 1:1000
Regarding the scale, in the graph above the value of 24 in the y-axis represent $24000 and so on.
