Here, y coordinate will be (0, 25,350) as $25,350 is the value of the new car at year 0 and x coordinate will be when the car is worth zero dollars and this is at the point (13, 0).
The slope of the depreciation equation is -1,950.
The straight-line depreciation equation that models this situation is [tex]\rm y = -1950x+ 25,350[/tex].
The graph of the straight-line depreciation equation is attached to the question.
Given that,
Delia purchased a new car for $25,350.
This make and model straight line depreciate to zero after 13 years.
According to the question,
Total depreciation amount = $25,350.
And time = 13 years
1. The coordinates of the x- and y-intercepts for the depreciation equation.
The y-intercept is the initial depreciation value,
i.e. when x = 0
This value is the value of the car when it was initially purchased.
Hence, the y-intercept = 23350
The x-intercept is the year it takes to finish depreciating.
i.e. when y = 0
From the question, we understand that it takes 13 years for the car to totally get depreciated.
Hence, the x-intercept = 13
Therefore, y coordinate will be (0, 25,350) as $25,350 is the value of the new car at year 0 and x coordinate will be when the car is worth zero dollars and this is at the point (13, 0).
2. The slope of the depreciation equation is,
The slope (m) is the rate of depreciation per year
This is calculated by dividing the total depreciation by the duration.
It is depreciation, which means the slope represents a deduction.
Then,
[tex]\rm m = \dfrac{-25350}{13}\\\\m = -1950[/tex]
The slope of the depreciation equation is -1,950.
3. The straight-line depreciation equation that models this situation is,
[tex]\rm y = mx+c\\\\ y = -1950x+ 25,350[/tex]
4. The graph of the straight-line depreciation equation is attached to the question.
For more details refer to the link given below.
https://brainly.com/question/2996282
