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Forty students were asked to name their favorite pet. The following table lists the results. image When Erick recounted the votes later, he realized 3 of the votes that had actually been cast for cats got recorded as votes for dogs. What is the difference between the original percent of votes cast for cats and the corrected percent of votes for cats?

(A)2.50%

(B) 7.50%

(C) 15%

(D) 37.50%

(E) 45%

The Correct Answer

In the standard (x,y) coordinate plane, point A is located at (w,w + 5) and point B is located at (4w,w-- 5). In coordinate units, what is the distance between A and B?

(A) (B) (C) 9w2 + 100 (D) (E) |w|

Correct Answer: B

A parabola with vertex (-3,-2) and axis of symmetry y = -2 crosses the y-axis at (0, -2 + 3). At what other point does the parabola cross the y-axis?

(A)No other point (B) (0,2 + 3) (C) (0,2 - 3) (D) (0,-2 - 3) (E) Cannot be determined from the given information

Correct Answer: D

Two professors were hired to begin work at the same time. Professor A's contract called for a starting salary of $50,000 with an increase of $1,500 after each year of employment. Professor B's contract called for a starting salary of $42,000 with an increase of $2,800 after each year of employment. If y represents the number of full years of employment (that is, the number of yearly increases each professor has received), which of the following equations could be solved to determine the number of years until B's yearly salary equals A's yearly salary?

(A)50, 000 + 1, 500y = 42, 000 + 2, 800y (B) 50, 000 + 2, 800y = 42, 000 + 1, 500y (C) 1, 500y + 2, 800y = y (D) 1, 500y + 2, 800y = 42, 000 (E) 1, 500y + 2, 800y = 50, 000

Correct Answer: A

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