Question

Can you explain how I get each answer please !

Answer 1

Since each year the car depreciates $2000, independently of the initial value, we can represent the car worth by the equation:

`\text{current worth=initial value-2000(number of years)}_{}`

a) Using the variables mentioned in the problem, the equation is:

`y=24000-2000x`

b) We need to set y=16000 and solve for x, as follows:

`\begin{gathered} 16000=24000-2000x \\ \Rightarrow2000x=24000-16000=8000 \\ \Rightarrow x=(8000)/(2000)=4 \end{gathered}`

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.