A painting is purchased for $250. if the value of the painting doubles every 5 years, then its value is given by the function v (t) = 250 • 2t/5, where t is the number of years since it was purchased and v (t) is its value (in dollars) at that time. what is the value of the painting ten years after its purchase? $1,000 $1,400 $1,800 $2,000

Question

Ramon Hampton

Mathematics

25 June, 18:47

A painting is purchased for $250. if the value of the painting doubles every 5 years, then its value is given by the function v (t) = 250 • 2t/5, where t is the number of years since it was purchased and v (t) is its value (in dollars) at that time. what is the value of the painting ten years after its purchase? $1,000 $1,400 $1,800 $2,000

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Answers (1)

Know the Answer?

Lefty · Answer 1

After 5 years, value doubles.

Hence after 5 years, value is 250 x 2 = 500

After another 5 years, value doubles.

500 x 2 = 1000

Ans: $1000

Method 2, using function given.

v (10) = 250 x 2 (10/5) = $1000