A is the answer:
While Governor Verdant has been in office, the state’s budget has increased by an average of 6 percent each year. While the previous governor was in office, the state’s budget increased by an average of 11.5 percent each year. Obviously, the austere budgets during Governor Verdant’s term have caused the slowdown in the growth in state spending.
Which of the following, if true, would most seriously weaken the conclusion drawn above?
(A) The rate of inflation in the state averaged 10 percent each year during the previous governor’s term in office and 3 percent each year during Verdant’s term.
It states the the reason the new govenor is spending at a lower rate is because inflation is lower therefore cost are rising at a slower rate. Thus spending hasn't increase because prices have not increased. This means he is spending the same but prices have not risen so his expenses hasn't risen. This is directly related to spending.
(B) Both federal and state income tax rates have been lowered considerably during Verdant’s term in office.
This ask you to link the outside idea that lower taxes means less spending and thus is outsie the scope of the arguement.
(C) In each year of Verdant’s term in office, the state’s budget has shown some increase in spending over the previous year.
This is given in the paragraph. He had 6% increase on avarage. Does not weaken.
(D) During Verdant’s term in office, the state has either discontinued or begun to charge private citizens for numerous services that the state offered free to citizens during the previous governor’s term.
This supports the arguement.
(E) During the previous governor’s term in office, the state introduced several so-called “austerity” budgets intended to reduce the growth in state spending.
This is close but no cigar. If this statement included "
which were expected to not effect the growth of state spending till sometime in the future" it would have been a stonger candidate. However it does not directly erode at the assumption that the new govenor is responsible for the reduced spending.