Question

Car: A graph has years on the x-axis and value (dollars) on the y-axis. A line goes through (2, 16,500) and (6, 10,900). Truck: A 2-column table with 3 rows. Column 1 is labeled Years: x with entries 0, 3, 6. Column 2 is labeled Value (dollars): y with entries 21,000, 17,700, and 14,400. Use the graph and table to answer the questions. Which vehicle loses the most value each year? Which vehicle will lose all of its value first? If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Answer 1

The car loses the most value each year because the slope of its line (-1,400 dollars per year) is greater than the slope of the truck's line (-1,100 dollars per year).

The truck will lose all of its value first because it starts with a higher initial value (21,000 dollars) compared to the car (19,300 dollars).

If the truck's rate of depreciation changes to a decrease of $1,650 each year, the truck will still lose all of its value first because the new rate of depreciation (-1,650 dollars per year) is greater than the rate for the car (-1,400 dollars per year).