Question

Thomas is building rectangular boxes. The table shows the area in square feet, f(x), of the bottom of a box when one side of the box is x feet long.
x 1 2 3 4 5
y 2 8 18 32 50

Choose the function that represents the data.

f(x) = x2 + 2x
f(x)=x^2/2
f(x) = 2x2
f(x) = 2x

Answer 1

f(x) = 2x^2

Check: 2(1)^2=2, 2(2)^2=8, 2(3)^2=18, 2(4)^2=32, 2(5)^2=50.