Answer: [tex]q=5p-32[/tex]
Step-by-step explanation:
The equation of the old supply curve is:
[tex]q = 5p - 22[/tex]
Where [tex]p[/tex] is the price in dollars.
According to the exercie,a $2 tax is imposed on suppliers; this means that [tex]p[/tex] changes for the suppliers. This changed can be expresed as:
[tex]p-2[/tex] .
Therefore,in order to find the equation of the new supply curve. you must substitute [tex]p-2[/tex] into the equation [tex]q = 5p - 22[/tex] .
Then:
[tex]q = 5(p-2) -22[/tex]
Simplifying, you get:
[tex]q = 5p-10 -22\\\\q=5p-32[/tex]