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Functions f and A are defined by these equations:f(x = 80 - 15xA(x = 25 + 10xWhich function has a greater value when xis 2.5, a(x) or f(x)?

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To compare the values of the functions \( f(x) \) and \( A(x) \) at \( x = 2.5 \), we first need to evaluate each function using the given definitions.

  1. Evaluate \( f(x) \): \[ f(x) = 80 - 15x \] Substitute \( x = 2.5 \): \[ f(2.5) = 80 - 15(2.5) = 80 - 37.5 = 42.5 \]

  2. Evaluate \( A(x) \): \[ A(x) = 25 + 10x \] Substitute \( x = 2.5 \): \[ A(2.5) = 25 + 10(2.5) = 25 + 25 = 50 \]

Now, we can compare the values:

  • \( f(2.5) = 42.5 \)
  • \( A(2.5) = 50 \)

Since \( 50 > 42.5 \), the function \( A(x) \) has a greater value than \( f(x) \) when \( x = 2.5 \).