Answer:
Option (b) is true.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{100-x}[/tex]
plug in x = 5 in the function
[tex]f\left(5\right)=\sqrt{100-5}[/tex]
[tex]\:f\left(5\right)=\sqrt{95}\:\:\:\:[/tex]
[tex]f(5) = 9.75[/tex]
plug in x = 10 in the function
[tex]f\left(10\right)=\sqrt{100-10}[/tex]
[tex]\:f\left(10\right)=\sqrt{90}\:\:\:\:\:[/tex]
[tex]\:f\left(10\right)=9.49[/tex]
plug in x = 15 in the function
[tex]f\left(10\right)=\sqrt{100-15}[/tex]
[tex]\:f\left(10\right)=\sqrt{85}\:\:\:\:\:[/tex]
[tex]\:\:f\left(15\right)=9.22[/tex]
Thus, the table will be:
x f(x)
0 10
5 9.75
10 9.49
15 9.22
Therefore, option (b) is true.
