Question

The table shows the distance in feet, y, that a rocket traveled in x seconds.



Choose the function that represents the data.
x=0 1 2 3 4 5
y=0 25 100 225 400 625

y = x/25
y = x25
y = 25x
y = 25x2

Answer 1

y = 25x^2

Reason: y/x^2 = 25 for each point (25·1^2=25, 25·2^2=100, 25·3^2=225, ...), so y = 25x^2.