Mary deposits $550 in a savings account at 3% simple annual interest. The
value of this account, v, is given by the function v = 550 + 16.5t, in which t
is the number of years the money is in the bank. What is the domain &
range of this function?

Respuesta :

Answer:

Domain: [tex]t \geq 0[/tex]

Range: [tex]v \geq 550[/tex]

Step-by-step explanation:

Given

[tex]v = 550 + 16.5t[/tex]

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

[tex]t \geq 0[/tex]

Solving for Range:

We solved domain to be [tex]t \geq 0[/tex]

This implies that the minimum value of t is [tex]t = 0[/tex] and the maximum is infinity

Substitute 0 for t in [tex]v = 550 + 16.5t[/tex]

[tex]v = 550 + 16.5(0)[/tex]

[tex]v = 550 + 0[/tex]

[tex]v = 550[/tex]

Hence;

The range is [tex]v \geq 550[/tex]