7
QuizMultiple Choice

Modeling Functions Using Finite Differences — Quiz

Question 7 • Algebraic Reasoning

Choose the function that represents the data in the table. x 0 1 2 3 4 5 y 6 6 point 5 7 7 point 5 8 8 point 5

Answer
A
y is equal to 0 point 5 x squared plus 6
B
y is equal to 0 point 5 to the x th power plus 6
C
y is equal to x raised to the 0 point 5 power plus 6
D
y is equal to 0 point 5 x plus 6

Explanation

As x increases by 1, y increases by 0.5 each time: 6, 6.5, 7, 7.5, 8, 8.5. A linear function with this rate of change and starting value y = 6 when x = 0 is y = 0.5x + 6. Therefore, the correct choice is D.

AI-written and checked against the verified answer.

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