High School

Use the following function rule to find [tex]f(144)[/tex].

[tex]f(x) = \frac{x}{16} + 6[/tex]

A. [tex]f(144) = 15[/tex]
B. [tex]f(144) = 24[/tex]
C. [tex]f(144) = 18[/tex]
D. [tex]f(144) = 27[/tex]

Answer :

Final answer:

Using the function rule f(x) = x/16 + 6, when x equals to 144 (or f(144)), you substitute 144 for x, solve the equation, which results in 15. So, f(144) = 15.

Explanation:

The student's question is asking for the solution to the function rule f(x) = x/16 + 6 when x is equal to 144, or f(144). To find this, you would substitute 144 for x in the equation. The solution step-by-step would be:

  1. f(144) = 144/16 + 6 which simplifies to f(144) = 9 + 6 after dividing 144 by 16.
  2. Finally, adding 9 and 6 together gives us the final answer: f(144) = 15

Therefore, the option a) f(144) = 15 is the correct answer for the given function rule.

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