Question

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

Answer 1

Answer:

The correct option is 1.

Step-by-step explanation:

The function is

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

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.

$f(0)=300(1+0.03)^(0)$

$f(0)=300(1)$

$f(0)=300$

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

Answer 2

Answer:

$\ 300$

Step-by-step explanation:

In this problem we have a exponential function of the form

$f(x)=a(b)^{x}$

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

$f(x)=300(1+0.03)^{x}$

therefore

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

For x=0

substitute

$f(0)=300(1+0.03)^{0}$

$f(0)=\ 300$