Let Y be a function of X, given by the table of values below.
X: 1.25| 1.5, |1.75| 2.0 | 2.25| 2.50 |
Y: 6.25| 6.63|7.03| 7.46| 7.91 | 8.40 |
(a) Verify that for constant changes in X , the change in the function is proportional to the Y value, at least
at the same precision level as the given data (to two decimal places).
(b) Using this value, find an approximate formula for Y in terms of X .

By doing +A to each X to get Y, I noticed that:
The +A was
5, 5.13, 5.28, 5.46, 5.66, 5.9

So I thought the equation must be X"something" +5, thus not sure on what variable change is used.

Question

Let Y be a function of X, given by the table of values below.
X: 1.25| 1.5, |1.75|  2.0 | 2.25| 2.50 |
Y: 6.25| 6.63|7.03| 7.46| 7.91 | 8.40 |
(a) Verify that for constant changes in X , the change in the function is proportional to the Y value, at least
at the same precision level as the given data (to two decimal places).
(b) Using this value, find an approximate formula for Y in terms of X .

By doing +A to each X to get Y, I noticed that:
The +A was
5, 5.13, 5.28, 5.46, 5.66, 5.9

So I thought the equation must be X"something" +5, thus not sure on what variable change is used.

anonymous · Answer

Would using a straight line formula, i.e y=mx+b work here?