6.
Based on the chart above, which of the following could express the relationship between x and y ?
A. y = x – 4
B. y = 2x – 1
C. y = 2x + 2
D. y = 3x – 3
7. Line l contains points (3, 2) and (4, 5). If line m is perpendicular to line l, then which of the following could be the equation of line m ?
A. x + 5y = 15
B. x + 3y = 15
C. 3x + y = 5
D. -5x + y = \( \frac{1}{3} \)
8. If f(x) = 2x² + 4 for all real numbers x, which of the following is equal to f(3) + f(5) ?
A. f(4)
B. f(6)
C. f(10)
D. f(15)
9.
The graph of y = g(x) is shown in the figure above. If g(x) = ax² + bx + c for constants a, b, and c, and if abc ≠ 0, then which of the following must be true?
A. ac > 1
B. c > 1
C. ac > 0
D. a > 0
10. Carlos and Katherine are estimating acceleration by rolling a ball from rest down a ramp. At 1 second, the ball is moving at 5 meters per second (m/s); at 2 seconds, the ball is moving at 10 m/s; at 3 seconds, the ball is moving at 15 m/s; and at 4 seconds, it is moving at 20 m/s. When graphed on an xy-plane, which equation best describes the ball’s estimated acceleration where y expresses speed and x expresses time?
A. y = 5x + 5
B. y = 25x
C. y = 5x
D. y = (4x + 1)² + 5