In 2006, a car was purchased for $17,000. each year since, the resale value has decreased by 21%.
let t be the number of years since 2006. let y be the value of the car, in dollars.
write an exponential function showing the relationship between y and t

We start with a value of 17000 in 2006. For reasons that will soon be clear, let's write it as

One year later, the resale value has decreased by 21%, which implies that the resale value is 79% of the previous one: the resale value in 2007 is

Move again one year forward: the resale price in 2008 is 79% of the resale price in 2007:

So, as you can see, after t years from 2006, the resale value will be multiplied by 0.79 t times, leading to the function

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step-by-step explanation: