Question

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



Choose the function that represents the data.

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

Answer 1

I don't see the table — can you paste the x and y values (or upload the picture)?

If you want to decide it yourself, here is the quickest test:

- For each row compute y ÷ x. If that value is (approximately) constant across rows, the relation is linear y = kx; if that constant equals 25 then y = 25x.
- If y ÷ x is not constant, compute y ÷ x^2. If that is (approximately) constant and equals 25, then y = 25x^2.
- The remaining option would be y = x/25 (if y ÷ x is constant and equals 1/25).

Example: if the table has (x,y) = (1,25), (2,50), (3,75) then y/x = 25 so y = 25x. If it has (1,25), (2,100), (3,225) then y/x^2 = 25 so y = 25x^2.

Send the table and I’ll pick the correct function.