1. A newly open business neither lost nor gained any money for the first three years. After three years, the business’s profit, P, increased proportionally with the time, t, passed. Which of the following functions could be the company’s profit on and after the 3rd year?(A) P(t) = -3 + 3t(B) P(t) = -12 + 4t(C) P(t) = 3t(D) P(t) = 3 - t(E) P(t) = t2 – 9

2. In an arithmetic sequence, nth element is x less than the mth element. If the first element is y and n < m, what is the kth element?

(A) y + xk/(n - m)(B) y + xk/(m - n)(C) y + x(k - 1)/(m - n)(D) y + x(k - 1)/(n - m)(E) y + x(n - m)/k

3. The distance traveled by an accelerated object is proportional to its acceleration, a, and the square of the time passed, t. Which of the following best describes the distance, d, traveled by the object?

(A) d = a + t(B) d = a + t2

(C) d = c + a t2, where c is a constant.(D) d = c(a + t2), where c is a constant.(E) d = c + at, where c is a constant.

6. An electrician charges “a” dollars for the first hour and “p” percent less for the additional hours. If he worked for h > 1 hours for a project, which of the following represents his average charge per hour?

(A) [a+ (p/100) x a] /2(B) [a + (h-1)(p/100)a]/h(C) [a + (h-1) {(100-p)/100)a]/h(D) [a + h {(100-p)/100)a]/h(E) [a+ {(100-p)/100) x a] /2

5. A swimming pool is filled by three different water sources. The first one supplies water at the speed of “a” m3/hr.; the second one supplies water with a speed of “b” m3/hr.; and the third one supplies water at a speed of “c” m3/hr. If all together they filled the pool in “h” hours, how many hours will take for only the first one to fill it?

(A) h(a+b+c)/a hours.(B) h(a+b+c)/3 hours.(C) (a+b+c)/a hours.(D) (a+b+c)/3 hours.(E) h/3 hours.