sat suite question viewer
Some values of the linear function f are shown in the table above. What is the value of ?
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.