Answer:
y = 6x
Explanation:
We can find the relationship by looking at each value for X and Y and finding which number makes the equation true
The first equations says Y = 3 when X = 0.5, Lets put this into an equation
![3= ?*0.5](https://img.qammunity.org/2023/formulas/mathematics/high-school/gwafqsm9n3glk6ycsg71andtbu2w1s5ekb.png)
The only number that would make this equation true is 6
![3=0.5*6](https://img.qammunity.org/2023/formulas/mathematics/high-school/cv9lt0f3xqh2ee8aeiu43ghowtozmj33ll.png)
Lets try another, The Third equation says that Y = 9 when X = 1.5
![9 = 1.5*?](https://img.qammunity.org/2023/formulas/mathematics/high-school/9savzek3nae6i1a6f88scbtxntoyppbqxk.png)
Again, the only number that works is 6
![9=1.5*6](https://img.qammunity.org/2023/formulas/mathematics/high-school/ieqrbd7f39mtgo30f66uuaule2zmw6qqxr.png)
Hence the equation for this table is
![Y=6x](https://img.qammunity.org/2023/formulas/mathematics/high-school/a9tk042b7tlid2dggrn05rc784ucvos8k7.png)