Which equation represents the relationship between the values of $x$ and $y$ in the table?

(A) $y=x+0.5$

(B) $y=1.5 x$

(C) $y=0.5 x+1$

(D) $y=2 x-0.5$

| $x$ | $y$ |
| :---: | :---: |
| 1 | 1.5 |
| 2 | 3 |
| 3 | 4.5 |
| 4 | 6 |

(E) $y=x^{2}+0.5$
We first try $x=1$ in each of the possibilities and we see that it checks for all five possibilities. Next, we try $x=2$.

When $x=2$, $y=x+0.5=2+0.5=2.5$.

When $x=2$, $y=1.5 x=1.5(2)=3$.

When $x=2, y=0.5 x+1=0.5(2)+1=2$.

When $x=2, y=2 x-0.5=2(2)-0.5=3.5$.

When $x=2, y=x^{2}+0.5=2^{2}+0.5=4.5$.

So only the second choice agrees with the table when $x=2$.

When $x=3$, the second choice gives $y=1.5 x=1.5(3)=4.5$ and when $x=4$,

$y=1.5 x=1.5(4)=6$.

Therefore, the second choice is the only one which agrees with the table.

ANSWER: (B)