increasing. Choice D is incorrect, because the graph over the interval between 70 and 90 minutes contains horizontal line segments and no segment with a negative slope. Explanation for . Choice C is correct. Substituting 6 for and 24 for in equals 24 equals, x y y k x parenthesis, close parenthesis, times, parenthesis, 6, close parenthesis, which gives k, k equals 4. Hence, equals 4 Therefore, when equals 5 the value of is parenthesis, 4, y x. x y close parenthesis, times, parenthesis, 5, close parenthesis, equals 20. None of the other choices for are correct because is a function of and so there is only one for a y y x, yvalue given xvalue. Choice A is the result of using 6 for and 5 for when solving for Choice B results y x k. from using a value of 3 for when solving for Choice D results from using equals k y. y k plus instead of equals x y k x. Explanation for . Choice D is correct. Consider the measures of 3 and angle 4 in the following figure. Begin skippable figure description. The figure presents two horizontal lines, and with line above line and two lines, m, m, ℓ ℓ and that are slanted upward and to the right, with line to the left of line Lines s t, s t. s and intersect lines and The angle above line and to the right of line is labeled 1 t m. t ℓ ℓ and the angle above line and to the left of line is labeled 2. m s End skippable figure description. The measure of angle 3 is equal to the measure of angle 1 because they are corresponding angles for the parallel lines and intersected by the transversal line m t. ℓ Similarly, the measure of angle 3 is equal to the measure of angle 4 because they are corresponding angles for the parallel lines and intersected by the transversal line s t m. Since the measure of angle 1 is 35 degrees, the measures of angle 3 and angle 4 are
increasing. Choice D is incorrect, because the graph over the interval between 70 and 90 minutes contains horizontal line segments and no segment with a negative slope. Explanation for . Choice C is correct. Substituting 6 for x and 24 for y in y equals k x 24 equals, parenthesis, k, close parenthesis, times, parenthesis, 6, close parenthesis, which gives k equals 4. Hence, y equals 4 x. Therefore, when x equals 5 the value of y is parenthesis, 4, close parenthesis, times, parenthesis, 5, close parenthesis, equals 20. None of the other choices for y are correct because y is a function of x, and so there is only one yvalue for a given xvalue. Choice A is the result of using 6 for y and 5 for x when solving for k. Choice B results from using a value of 3 for k when solving for y. Choice D results from using y equals k plus x instead of y equals k x. Explanation for . Choice D is correct. Consider the measures of 3 and angle 4 in the following figure. Begin skippable figure description. The figure presents two horizontal lines, ℓ and m, with line ℓ above line m, and two lines, s and t, that are slanted upward and to the right, with line s to the left of line t. Lines s and t intersect lines ℓ and m. The angle above line ℓ and to the right of line t is labeled 1 and the angle above line m and to the left of line s is labeled 2. End skippable figure description. The measure of angle 3 is equal to the measure of angle 1 because they are corresponding angles for the parallel lines ℓ and m intersected by the transversal line t. Similarly, the measure of angle 3 is equal to the measure of angle 4 because they are corresponding angles for the parallel lines s and t intersected by the transversal line m. Since the measure of angle 1 is 35 degrees, the measures of angle 3 and angle 4 are
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