High School

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------------------------------------------------ A student used [tex]f(x) = 5.00(1.012)^x[/tex] to show how the balance in a savings account will increase over time. What does the [tex]5.00[/tex] represent?

Answer :

Answer:

5.00 is the value of the initial balance (i.e. when time is 0) in the savings account.

Step-by-step explanation:

We have the function, [tex]f(x)=5.00(1.012}^x[/tex] which represents the balance in the savings account.

Now, if we substitute x= 0, we have,

[tex]f(x)=5.00(1.012}^x[/tex] implies [tex]f(0)=5.00(1.012}^0[/tex]

As, 'any number with power 0 is equal to 1 i.e. [tex]x^0=1[/tex]'.

We get,

[tex]f(0)=5.00(1.012}^0[/tex] implies [tex]f(0)=5.00\times 1[/tex] i.e. f(0)= 5.00

Thus, we see that,

5.00 is the value of the initial balance (i.e. when time is 0) in the savings account.

Answer:

the starting balance of the saving account