Question
7. Function \( f \) and \( A \) are defined by these equations. \( f(x)=80-15 x \) Which function has a greater value when \( x \) is 2.5 ? Show your or explain your reasoning.
Ask by Crawford Ford. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Cannot determine which function has a greater value when \( x = 2.5 \) because the function \( A \) is not provided.
Solution
To determine which function has a greater value when \( x \) is 2.5, we need to substitute \( x = 2.5 \) into both functions and compare the results.
Given:
\( f(x) = 80 - 15x \)
Substitute \( x = 2.5 \) into \( f(x) \):
\( f(2.5) = 80 - 15(2.5) \)
\( f(2.5) = 80 - 37.5 \)
\( f(2.5) = 42.5 \)
Now, we need to find the value of \( A \) when \( x = 2.5 \). However, the function \( A \) is not provided. Therefore, we cannot compare the values of \( f(2.5) \) and \( A(2.5) \) without the function \( A \).
If you provide the function \( A \), we can continue with the comparison.
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Simplify this solution Extra Insights
To determine which function has a greater value when \( x = 2.5 \), we will evaluate the function \( f(x) \). Substituting \( x = 2.5 \) into the function \( f \): \[ f(2.5) = 80 - 15(2.5) = 80 - 37.5 = 42.5 \] Since no other function \( A \) is provided in your question, if we only consider \( f(x) \), we find that at \( x = 2.5 \), \( f(2.5) \) yields a value of 42.5. If \( A \) is another function that you have or are considering, you would need to evaluate it similarly to compare values. Without additional information about function \( A \), it's impossible to conclude which function has a greater value, but for \( f \) at \( x = 2.5 \), the value is 42.5!
