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The graph shows the relationship between the number of years after a car is purchased
and the car's value
Which statement correctly describes the relationship shown in the graph?
A)
The car's initial value is $18,000, and the car's value increases $2,000 each year.
B)
The car's initial value is $18,000, and the car's value increases $6,000 each year
C)
The car's initial value is $30,000, and the car's value decreases $2,000 each year.
D)
The car's initial value is $30,000, and the car's value decreases $6,000 each year

The graph shows the relationship between the number of years after a car is purchased and the cars value Which statement correctly describes the relationship sh class=

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Answer:

C. The car's initial value is $30,000, and the car's value decreases $2,000 each year.

Step-by-step explanation:

first I looked at the graph and saw that the y-intercept(car's initial value) was 30,000 which allowed me to eliminate A and B. Then found the slope by using the [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]= slope formula. [tex]\frac{24,000-30,000}{3-0}=\frac{-6,000}{3}=-2,000[/tex]. This tells us that the slope is -2,000 which means that the value decreases by 2,000 each month. So the correct answer is C.

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