Question

A painting is purchased for $500. If the value of the painting doubles every 5 years, then its value is given by the function V(t) = 500 • 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 10 years after its purchase?

Answer 1

the answer is 2,000 since every 5 years the price doubles. So after 5 years it is 1000. And five years later it becomes 2000. 

Answer 2

You just have to plug in the number. let me simplify what the equation is saying:

Value Of The Painting = 500 * 2t/5

t = The Number Of Years

So, plug it in, in this case, it's 10 years

500 * 2(10)/5
(500 times (two times ten) divided by five)

Then plug that in a calculator and you get $2,000.00

Alternate Way:



The original value of the painting is $500.00

That value doubles every five years and you have to find the worth of it in 10 years.

So you take 10 years and divide it by 5, which is the number of years it takes the painting to double in value.

You get the number 2, that's how many times it has doubled. Now, you double the number two times, keep in mind that you DONT multiply by two, but rather double it two times.

$500 doubled is $1000

$1000 doubled is $2000

And there's your answer.