Explanation
Correct answer: B.
Choice B is correct. Of the city's total expense budget for one year, the city budgeted million dollars for departmental expenses and million dollars for all other expenses. This means that the expression represents the total expense budget, in millions of dollars, for one year. It's given that the total expense budget for one year is million dollars. It follows then that the expression is equivalent to , or . Subtracting from both sides of this equation yields . By the symmetric property of equality, this is the same as .
Desmos solution:
Note: The total budget x equals departmental expenses y plus other expenses 201, so x = y + 201, which rearranges to x - y = 201.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. Because it's given that the total expense budget for one year, million dollars, is comprised of the departmental expenses, million dollars, and all other expenses, million dollars, the expression must be equivalent to a value greater than million dollars. Therefore, the equation isn't true.
Choice C
Choice C is incorrect. Because it's given that the total expense budget for one year, million dollars, is comprised of the departmental expenses, million dollars, and all other expenses, million dollars, the expression must be equivalent to a value greater than million dollars. Therefore, the equation isn't true.
Choice D
Choice D is incorrect. The value of must be greater than the value of . Therefore, can't represent this relationship.