Question

A table of values of a linear function is shown below. Find the output when the input is n.

input 1 2 3 4 n
output -4 0 4 8 ?

Answer 1

As the input (x) increases by 1, the output (y) increases by 4. When x is 0, y would be -8. The equation for this table of values would be y = 4x - 8.
If n was 5, we would multiply it by 4 to get us 20. 20 subtracted by 8 is 12. The answer would be (5, 12). This is correct because the output increases by 4 again, making it a linear function.