Answer:
Neither because the first and second differences are not constant (last option)
Step-by-step explanation:
Given:
A table showing 1st and second difference
To find:
to determine if it is linear, quadratic, or neither
We find the difference between the y values
For the 1st difference (Δy) = next y - previous y
i) 8 - 3 = 5
ii) 18 - 8 = 10
iii) 38 - 18 = 20
iv) 78 - 38 = 40
The first difference is not constant (we got different values). Hence, it is not linear
For the 2nd difference Δ(Δy) = next y - previous y
We will subtract the y values we got above
i) 10 - 5 = 5
ii) 20 - 10 = 10
iii) 40 - 20 = 20
The 2nd difference is not constant (we got different values). Hence, it is not quadratic
Neither because the first and second differences are not constant