Anew car purchased for $27,000 loses 15% of its value each year.
what is the multiplier?
write a function of the form f(t) = abt that represents the situation.
at the current rate, what will be the value of the car in five years?

A new car loses 15% of its value each year, then only 85% of the car price remained. As a decimal 85% is 0.85 (if 100% is the whole 1).

Let t be the number of years when car is losing value. Then you have a regularity:

Therefore, the function that represents the situation is

When t=5, you can count that

coefficient - 0.85; function - value of car in five years - $11,980.04

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!