Question

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

a. 95, 90, 85
b. 9.75, 9.49, 9.22
C. 9.75, 9.22, 9.49
d. 10, 9,8​

Answer 1

Option (b) is true.

Explanation:

Given the function

`f\left(x\right)=√(100-x)`

plug in x = 5 in the function

`f\left(5\right)=√(100-5)`

`\:f\left(5\right)=√(95)\:\:\:\:`

`f(5) = 9.75`

plug in x = 10 in the function

`f\left(10\right)=√(100-10)`

`\:f\left(10\right)=√(90)\:\:\:\:\:`

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

plug in x = 15 in the function

`f\left(10\right)=√(100-15)`

`\:f\left(10\right)=√(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.