Final answer:
The depreciation equation for the TV is D(t) = 1750 - 316.67t, where D(t) is the value of the TV after t years, assuming linear depreciation.
Step-by-step explanation:
To find the depreciation equation for the TV, we need to calculate the annual depreciation and then construct the equation that reflects the decrease in value over time. The original cost of the TV was $1,750, and after 3 years, its value has decreased to $800. Thus, the total depreciation over 3 years is $1,750 - $800 = $950.
Next, to find the annual depreciation, we divide the total depreciation by the number of years:
- Total annual depreciation = $950 ÷ 3 = $316.67 (approximately).
The depreciation equation would therefore be:
D(t) = 1750 - 316.67t,
where D(t) represents the value of the TV after t years. This equation assumes linear depreciation over time.