In which of the tables below x and y are inversely proportional? find the constant of variation. if there is one. (a) x: y, 3: 8, 4: 6, 5: 4.8, 5.5: 4
(b) x: y, 0.1: 300, 0.5: 60 75: 0.4, 100: 0.3

The table B represent an inverse variation  

The constant of variation k is 30

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

Verify table A

For x=3, y=8 ----> ---->

For x=4, y=6 ----> ---->

For x=5, y=4.8 ----> ---->

For x=5.5, y=4 ----> ---->

The values of k are different

therefore

The table A not represent an inverse variation  

Verify table B

For x=0.1, y=300 ----> ---->

For x=0.5, y=60 ----> ---->

For x=75, y=0.4 ----> ---->

For x=100, y=0.3 ----> ---->

All the values of k are the same

therefore

The table B represent an inverse variation  

The equation is equal to

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°