6.
The giant swings in an amusement park are run only when completely full to maintain a fairly even distribution of weight. The number of times the swings have been run, along with a cumulative rider count, is recorded in the table above. Based on the information, how many people will have ridden the giant swings when they have been run eight times?
A. 98
B. 112
C. 140
D. 224
7. Which of the following expressions is equivalent to \( a^\frac{2}{6} \)?
A. \( \sqrt[3]{a} \)
B. \( \sqrt[]{3a} \)
C. \( \frac{a}{3} \)
D. \( \frac{2}{a^6} \)
8. A publishing company ships books to schools, some of which are hardback textbooks and some of which are paperback workbooks. Each shipping box can hold a maximum of 20 textbooks or 64 workbooks. Each textbook takes up 192 cubic inches of space, and each workbook takes up 60 cubic inches of space. One box can hold a maximum of 3,840 cubic inches. The shipping department is packing a box containing both types of books. Which of the following systems of inequalities can the department use to determine how many textbooks, t, and workbooks, w, can be shipped in one box?
9. A nutritionist is studying the effects of nutritional supplements on athletes. She uses the function Pi (a) to represent the results of her study, where a represents the number of athletes who participated in the study, and Pi represents the number of athletes who experienced increased performance while using the supplements over a given period of time. Which of the following lists could represent a portion of the domain for the nutritionist’s function?
A. {…-100, -75, -50, -25, 0, 25, 50, 75, 100…}
B. {-100, -75, -50, -25, 0, 25, 50, 75, 100}
C. {0, 2.5, 5, 7.5, 10, 12.5, 15…}
D. {0, 15, 30, 45, 60, 75…}
10.
Which of the following equations could represent the graph in the figure?
A. y = x² – 4x – 4
B. y = x² + 4x – 4
C. y = x² – 8x + 16
D. y = x² + 8x + 16