Question

A new television depreciates $140 per year, and it is worth $260 after four years. Find a function that describs the value of this television, if x is the age of the television in years.

f(x)=

Answer 1

Let y be the cost of the new television.

Given that the television depreciates $140 per year.

So after 4 years , the depreciation

= 4*140

= $ 560

Given the cost of the television after 4 years= $260=

Cost of televison after 4 years=cost at the time of purchase - Depreciation

260=y -560

y= 260+560

y = 820

Cost of television at the time of purchase $820

Let x is the age of the television

Then the function that describes the value of the television is given by,

f(x)=cost of television at the time of purchase-age*depreciation per year

f(x)= 820-x(140)

f(x)= 820-140x

f(x)=820-140x