Answer:
Explanation:
Let:
[tex]y=Tequila\\x=Vodka[/tex]
So:
[tex]170y+32x=2810[/tex]
This is an equation of a line. Let's represent it in its Slope–intercept form:
[tex]Subtract\hspace{3}32x\hspace{3}from\hspace{3}both\hspace{3} sides:\\170y=2810-32x\\\\Divide\hspace{3}both\hspace{3}sides\hspace{3}by\hspace{3}170\\\\y=\frac{281}{17}-\frac{16}{85}x[/tex]
In order to find the intercept of the budget line on the Tequila axis, we need to evaluate the function for x=0, so:
[tex]y=\frac{281}{17} -\frac{16}{85} (0)=\frac{281}{17} \approx16.53[/tex]
