Answer:
[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]
[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]
Step-by-step explanation:
Given
[tex]y = 25x + 65[/tex]
Required
Determine the range and domain when x = 9 to 16
The domain is the set of
[tex]Domain\ =\ \{x: 9,10,11....16\}[/tex]
Solving for the range;
When x = 9
[tex]y = 25 * 9 + 65[/tex]
[tex]y = 225 + 65[/tex]
[tex]y = 290[/tex]
When x = 10
[tex]y = 25 * 10 + 65[/tex]
[tex]y = 250 + 65[/tex]
[tex]y = 315[/tex]
When x = 11
[tex]y = 25 * 11 + 65[/tex]
[tex]y = 275 + 65[/tex]
[tex]y = 340[/tex]
You continue till you get to x = 16
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When x = 16
[tex]y = 25 * 16 + 65[/tex]
[tex]y = 400 + 65[/tex]
[tex]y = 465[/tex]
Hence; the range is
[tex]Range\ =\ \{y:290, 315,340.....465\}[/tex]
