The function below represents the annual interest Victoria earns on a savings account. Identify the term that represents the amount of money originally deposited in the account.

f(x) = 300(1 + 0.03)x

300
1
0.03
x

Respuesta :

Answer:

[tex]\$300[/tex]

Step-by-step explanation:

In this problem we have a exponential function of the form

[tex]f(x)=a(b)^{x}[/tex]

where

a is the initial value ( value of the function when the value of x is equal to zero)

b is the base

r is the rate

b=1+r

we have

[tex]f(x)=300(1+0.03)^{x}[/tex]

therefore

The term that represents the amount of money originally deposited in the account is the initial value

For x=0

substitute

[tex]f(0)=300(1+0.03)^{0}[/tex]

[tex]f(0)=\$300[/tex]

Answer:

The correct option is 1.

Step-by-step explanation:

The function is

[tex]f(x)=300(1+0.03)^x[/tex]

We need to find the term that represents the amount of money originally deposited in the account. It means we need to find the initial amount.

Substitute x=0 in the given function, to find the initial value of the function.

[tex]f(0)=300(1+0.03)^(0)[/tex]

[tex]f(0)=300(1)[/tex]

[tex]f(0)=300[/tex]

The term 300 represents the amount of money originally deposited in the account. Therefore the correct option is 1.