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A new car striaght line depreciates according to the equation y=-1,875x + 20,625. What is the original price of the car? How many years will it take for this car to fully striaght line depreciate?

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Answer:

The original price of the car = $20,625

It will take 11 years or this car to fully straight line depreciate.

Explanation:

Given:

The straight line depreciation of a car is given as:


y=-1,875x+20,625

To find the original price of the car and the number of years it takes for this car to fully straight line depreciate.

Solution:

The straight line depreciation equation is given as:


y=-mx+b

where
m represents the rate of depreciation per year,
x represents number of years and
b represents the original value.

From the given equation we can see that the original value
b is = 20,625

Thus, the original price of the car = $20,625

To find he number of years it takes for this car to fully straight line depreciate, we will substitute
y=0 as the value of car is fully depreciated.

So, we have:


0=-1,875x+20,625

We can now solve for
x to get the number of years it takes for this car to fully straight line depreciate.

Adding
1,875x both sides.


0+1,875x=-1.875x+1,875x+20,625


1,875x=20,625

Dividing both sides by 1,875


(1,875x)/(1,875)=(20,625)/(1,875)


x=11

Thus, it will take 11 years or this car to fully straight line depreciate.

User Yasir
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