Question

Finish the following table for the given function with x as the independent variable. x 10 10 15 10 15 Ax) = V100- x

Answer 1

Answer:

Option (b) is true.

Step-by-step explanation:

Given the function

$f\left(x\right)=\sqrt{100-x}$

plug in x = 5 in the function

$f\left(5\right)=\sqrt{100-5}$

$\:f\left(5\right)=\sqrt{95}\:\:\:\:$

$f(5) = 9.75$

plug in x = 10 in the function

$f\left(10\right)=\sqrt{100-10}$

$\:f\left(10\right)=\sqrt{90}\:\:\:\:\:$

$\:f\left(10\right)=9.49$

plug in x = 15 in the function

$f\left(10\right)=\sqrt{100-15}$

$\:f\left(10\right)=\sqrt{85}\:\:\:\:\:$

$\:\:f\left(15\right)=9.22$

Thus, the table will be:

x              f(x)

0              10

5              9.75

10             9.49

15             9.22

Therefore, option (b) is true.