Question

Which function represents the estimated depreciated value of the delivery truck after t years, given a depreciation rate of $7,200 per year from its initial value of $43,200?

a) ƒ(t)=7,200t−43,200ƒ(t)=7,200t−43,200
b) ƒ(t)=43,200÷7,200tƒ(t)=43,200÷7,200t
c) ƒ(t)=43,200−7,200tƒ(t)=43,200−7,200t
d) ƒ(t)=43,200t−7,200ƒ(t)=43,200t−7,200

Answer 1

The correct function for the depreciated value of a truck after t years with a rate of $7,200 per year from an initial value of $43,200 is ƒ(t) = 43,200 - 7,200t.

Step-by-step explanation:

The function that represents the estimated depreciated value of the delivery truck after t years, given a depreciation rate of $7,200 per year from its initial value of $43,200, is ƒ(t) = 43,200 - 7,200t. This linear function starts with the initial value of the truck and subtracts the depreciation for each year t. The formula essentially subtracts $7,200 from the initial value for every year that passes, reflecting the decrease in value due to depreciation.