In which table is y a linear function of x

We conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

Step-by-step explanation:

Here are some of the rules using which we can easily figure out the true nature of a function.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

We have to find a table in which y is a  linear function of x.

Checking the table C

x         -1         0        1         2          3

y         6         8       10        12        14

Here:

There is a  constant change in x.

i.e. 0 - (-1) = 1;  1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1

Also there is a  constant change in y.

i.e. 8 - 6 = 2;  10 - 8 = 2;  12 - 10 = 2;  14 - 12 = 2

Thus, we conclude that the table C represents a constant change in x and y.

Hence, table C represents that y is a linear function of x.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.