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Linear scenario?
The value of a Honda Civic, y in dollars depreciates over x amount of years of the time purchased. The value of the car is $13000 after 2 years of purchased date. The value of the car is $8000 after 6 years.
Please help me solve this! thank you in advance
give the equation of the line, in the slope-intercept form, that is described in the scenario. Explain how you found the equation. Interpret or state what the slope and the y-intercept mean in terms of the scenario. If the y-intercept does not make sense, state why?
1 Answer
- MichaelLv 73 years ago
There are two points
(2, 13000) and (6, 8000)
----------------------
Find the slope
m = rise/run
m = (y₂ -y₁) / (x₂ - x₁)
m = (8000 - 13000) / (6 - 2)
m = -5000/4
m = -1250
-----------------------
Slope intercept form is
y = mx + b
where m is the slope and b is the y-intercept
Use either point to determine b
using point (6, 8000) and m = -1250
8000 = -1250(6) + b
8000 = -7500 + b
add 7500 to both sides
15500 = b
Now the slope intercept equation can be written
y = -1250x + 15500 <––––––
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Interpret or state what the slope and the y-intercept mean in terms of the scenario.
The slope -1250 means the car depreciates $1250 each year.
The y-intercept, 15500 means the cars cost $15500 when new.
If the y-intercept does not make sense, state why?
The y-intercept seems a little low as a new Honda Civic is about $18000 - $22000
