Question

The original value of a painting is ADE 9,000 and the value increases by 7% each year. Create a table, function and graph for this situation. Then find the painting’s value in 15 years.

Answer 1

To find the value of the painting in 15 years, create a table and function. The value will be 21,577.72 ADE.

Step-by-step explanation:

To find the value of the painting in 15 years, we can create a table.

In the first year, the value increases by 7%: 9000 + 9000 * 0.07 = 9630.

In the second year, the value increases by 7% again: 9630 + 9630 * 0.07 = 10323.1.

We can continue this pattern and create a table for each year.

To represent this situation in a function, we can use the formula:

V(t) = V0 * (1 + r)t

where V(t) is the value of the painting at time t, V0 is the original value, r is the growth rate (in decimal form), and t is the number of years.

Using the function, we can find the value of the painting in 15 years:

V(15) = 9000 * (1 + 0.07)15 = 21,577.72 ADE.

Therefore, the value of the painting in 15 years will be 21,577.72 ADE.