Question

The table shows ordered pairs of the function y = 16 + 0.5x

Which ordered pair could be the missing values represented by (x, y)?

a) (0, 18)
b) (5, 19.5)
c) (8, 20)
d) (10, 21.5)

Answer 1

the answer is C (8,20)

Answer 2

c) (8, 20)

Explanation:

We must plug in the given value of x in the function and confirm that the value of y that is returned to us is the correct one.

a) (0, 18)

`x=0,y=18`

`y = 16 + 0.5(0)=16+0=16`

the values for y do not match, so it is not a solution.

b) (5, 19.5)

`x=5,y=19.5`

`y = 16 + 0.5(5)=16+2.5=18.5`

again, the values for y do not match so it is not a solution.

c) (8, 20)

`x=8,y=20`

`y = 16 + 0.5(8)=16+4=20`

For this option, the values of y do match, so (8, 20) are the missing values.