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A car sells for and loses of its value each year.Write a function that gives the car's value, years after it is sold.
Full solution
Q. A car sells for and loses of its value each year.Write a function that gives the car's value, years after it is sold.
- Identify Value and Depreciation Rate: Identify the initial value of the car and the rate at which it depreciates each year.The initial value of the car is . The car loses of its value each year, which means it depreciates by annually.
- Write Depreciation as Decimal: Write the depreciation as a decimal to use in the function.Since the car loses of its value each year, we convert this fraction to a decimal to get .
- Determine Depreciation Factor: Determine the depreciation factor for each year.To find the value of the car after each year, we subtract the depreciation rate from . This gives us the factor by which the car's value decreases each year.Depreciation factor =
- Write Function for Car's Value: Write the function for the car's value after years.The car's value after years, , can be represented by the initial value multiplied by the depreciation factor raised to the power of .
