1. The problem asks which function, $f(x) = 80 - 15x$ or $A(x) = 25 + 10x$, has a greater value when $x = 2.5$.
2. Calculate $f(2.5)$:
$$f(2.5) = 80 - 15 \times 2.5 = 80 - 37.5 = 42.5$$
3. Calculate $A(2.5)$:
$$A(2.5) = 25 + 10 \times 2.5 = 25 + 25 = 50$$
4. Compare the values:
Since $50 > 42.5$, $A(2.5)$ is greater than $f(2.5)$.
Final answer: The function $A$ has a greater value when $x = 2.5$.
Function Comparison 338346
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.