The cost of a Frigbox refrigerator is $950, and it depreciates $50 each year. The cost of an Arctic Air refrigerator is $1,200, and it depreciates $100 per year.

Question

(a) Determine an equation that expresses the value of the Frigbox refrigerator as a function of time, in years.

(b) Determine an equation that expresses the value of the Arctic Air refrigerator as a function of time, in years.

(c) If a Frigbox refrigerator and an Arctic Air refrigerator are bought at the same time, when will the two refrigerators have equal value?

Answer 1

950 - 50t = 1200 - 100t

950 - 50t + 100t = 1200

950 + 50t = 1200

50t = 250

t=5

after 5 years they will both be worth 700