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What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
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What is the equation of the exponential function Anthonys mom bought a new Prius in 2018 that cost 28000 She looked up the current value and saw that it was onl class=

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mhanifa

Answer:

  • $19500

Step-by-step explanation:

Let the depreciation rate is x per year, then we have:

  • 28000*x² = 22000
  • x² = 22000/28000
  • x² = 0.7857
  • x = √0.7857
  • x = 0.8864

Exponential function for this case is:

  • V(t) = 28000*0.8864^t, where V(t) - future value, t- number of years

Value of the car after 3 years:

  • V(3) = 28000*0.8864^3
  • V(3) = 19500

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