The linear equation that models the value of the automobile in terms of the year x is y = -1,110 x + 14,220
Step-by-step explanation:
The average value of a certain type of automobile was 14,220 in 1993 and depreciated to 9,780 in 1997
- y be the average value of the automobile in the year x
- x = 0 represents 1993
We need to write and graph a linear equation that models the value of the automobile in terms of the year x
The form of the linear equation is y = mx + b, where b is the initial value (value y at x = 0), and m is the rate of change
∵ The average value the of automobile was 14,220 in 1993
∵ x = 0 represents 1993
∴ The point which represent the data is (0 , 14,220)
- b is the value of y at x = 0
∴ b = 14,220
∵ The average automobile was 9,780 in 1997
- To find x subtract 1993 from 1997
∵ 1997 - 1993 = 4
∴ x = 4
∴ The point which represent the data is (4 , 9,780)
∵ m = Δy/Δx
∴
∴ m = -1,110
- Substitute the values of m and b in the form of the equation
∴ y = -1,110 x + 14,220
The linear equation that models the value of the automobile in terms of the year x is y = -1,110 x + 14,220
The graph is attached below
Each square unit represents 1000 in the graph
Learn more:
You can learn more about the linear function in brainly.com/question/1284310
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