Question 11 refers to the following system of equations.
7 x plus 3 y equals 8
And
6 x minus 3 y equals 5
Question 11.
For the solution of the ordered pair x comma y to the preceding system of equations, what is the value of x minus y?
A. the negative fraction 4 over 3
B. the fraction 2 over 3
C. the fraction 4 over 3
D. the fraction 22 over 3
Questions 12 through 14 refer to the following information.
In 1919, H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the following table and graph, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.
Sunflower Growth
Day
|
Height (centimeters)
|
0
|
0.00
|
7
|
17.93
|
14
|
36.36
|
21
|
67.76
|
28
|
98.10
|
35
|
131.00
|
42
|
169.50
|
49
|
205.50
|
56
|
228.30
|
63
|
247.10
|
70
|
250.50
|
77
|
253.80
|
84
|
254.50
|
Begin skippable figure description.
The figure, which presents a line graph in the first quadrant of a t h‑coordinate plane, is titled “Sunflower Height over Time.” The horizontal t‑axis is labeled “Time, in days,” and the numbers 0 through 84, in increments of 7, are indicated. The vertical h‑axis is labeled “Height, in centimeters,” and the numbers 0 through 260, in increments of 20, are indicated. There are 13 points on the graph that represent the data given in the preceding table. The curve is made up of 12 line segments connecting each of the data points from the table, beginning at the point with coordinates 0 comma 0, moving upward and to the right, and ending at the point with coordinates 84 comma 254.50.
End skippable figure description.
Question 12.
Based on the given information, over which of the following time periods is the average growth rate of the sunflower least?
A. Day 0 to Day 21
B. Day 21 to Day 42
C. Day 42 to Day 63
D. Day 63 to Day 84
Question 13.
In respect to the given information, the function h, defined by h of t equals a, times t plus b, where a and b are constants, models the height, in centimeters, of the sunflower after t days of growth during a time period in which the growth is approximately linear. What does a represent?
A. The predicted number of centimeters the sunflower grows each day during the period
B. The predicted height, in centimeters, of the sunflower at the beginning of the period
C. The predicted height, in centimeters, of the sunflower at the end of the period
D. The predicted total increase in the height of the sunflower, in centimeters, during the period
Question 14.
Based on the given information, the growth rate of the sunflower from day 14 to day 35 is nearly constant. On this interval, which of the following equations best models the height h, in centimeters, of the sunflower t days after it begins to grow?
A. h equals 2.1 times t minus 15
B. h equals 4.5 times t minus 27
C. h equals 6.8 times t minus 12
D. h equals 13.2 times t minus 18
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