Question some-v
Some values of the linear function f are shown in the table above. What is the value of 
?
6
7
8
9
Some values of the linear function f are shown in the table above. What is the
Hard-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer 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.
More Linear Functions practice questions
- x 10 15 20 25 f x 82 137 192 247 The table shows
- Line k is defined by y = 17 7 x + 4 . Line
- An object hangs from a spring. The formula relates the length , in centimeters,
- Oil and gas production in a certain area dropped from 4 million barrels in
- Sean rents a tent at a cost of $ 11 per day plus a
- The line graphed in the xy -plane below models the total cost, in dollars,
- Line p is defined by 2 y + 18 x = 9 . Line
- The equation E t = 5 1.8 t gives the estimated number of employees
Browse all Heart of Algebra practice questions or return to the full SAT question bank.