Question

Bao has an original oil painting worth 30{,}00030,00030, comma, 000 Chinese Yuan. Each year the painting's value increases by 15\%15%15, percent.

Which graph best represents the relationship between time and the painting's value?

Answer 1

(For Khan Academy) Its the second one

its the one that curves

NOT the one that looks like an arrow

Explanation:

Answer 2

The graph in the attached figure

Explanation:

we know that

The equation of a exponential growth function is given by

`y=a(1+r)^x`

where

y is the painting's value

x is the time in years

a is the initial value

r is the rate of change

we have

`a=30,000, r=15\%=15/100=0.15`

substitute

`y=30,000(1+0.15)^x`

`y=30,000(1.15)^x`

using a graphing tool

The graph in the attached figure