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ruslelena [56]
3 years ago
12

A new car worth 24,000 is depreciating in value by $3,000 per year. Complete parts a. & b. A. Write a formula that models th

e cars value, y, in dollars, after x years. Y= B. Use the formula from part (a) to determine after how many years the cars value will be $12,000. After ___ years, the cars value will be $12,000
Mathematics
2 answers:
irakobra [83]3 years ago
6 0
24000-12000=12000. 12000/3000=4. 4 years
pentagon [3]3 years ago
5 0

Answer:

A) y = 24000 - 3000 x

B) 4 years

Step-by-step explanation:

<u>Part A</u>

We need to write a formula for the <em>car value</em> y, after x <em>years</em>, knowing that:

  • The initial car values is $24,000
  • The car value depreciates (decreases) $3,000 per year

So to calculate the car value after x years we must<em> subtract to the initial car value </em>(fixed independent term) <em>how much the value has depreciated</em>, that is $3000 multiplied by the amount of years x.

So the car value will be calculated as:

y = 24000 - 3000 x

<u>Part B</u>

The question asks after how many years the car value will be $12000

So, y = 12000

we need to calculate the years x

Lets replace in the formula and solve for x:

12000 = 24000 - 3000 x

we must isolate x by doing the opposite operations:

12000 - 24000 = 24000 -24000 -3000 x

-12000 = -3000 x

-12000 / (-3000) = -3000 x / (-3000)

4 = x

After 4 years the car value will be $12000

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