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