Some values of the linear function f are shown in the table above. What is the value of ?
A
6
B
7
C
8
D
9
Correct answer: B
Explanation
Choice B is correct. A linear function has a constant rate of change, and any two rows of the table shown can be used to calculate this rate. From the first row to the second, the value of x is increased by 2 and the value of is increased by . So the values of increase by 3 for every increase by 1 in the value of x. Since , it follows that . Therefore, .
Choice A is incorrect. This is the third x-value in the table, not . Choices C and D are incorrect and may result from errors when calculating the function’s rate of change.
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id cb_question_bank:7920c1a6-6025-4af5-aac7-917faf03dbed · question c651cc56 · IBN 05013-DC
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