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]