Question

The value of an antique plate after x years can be modeled by f(x) = 18(1.05)x. Which graph can be used to approximate the number of years it will take for the plate’s value to be $30?

Answer 1

1st graph

Explanation:

just did it in edge

Answer 2

The approximate number of years is 10

The graph in the attached figure

Explanation:

Let

f(x) the value of an antique plate

x is the number of yeras

we know that

The system of equations that represented the problem is equal to

`f(x)=18(1.05)^(x)` ----> equation A

`f(x)=30` ----> equation B

Solve the system by graphing

The solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10.47,30)

see the attached figure

therefore

The approximate number of years is 10