Question

problem 3
functions f and a are defined by these equations.
f(x)=80−15x a(x)=25+10x
which function has a greater value when x is 2.5?
f(x)
a(x)
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Explanation:

Step1: Calculate f(2.5)

Substitute \( x = 2.5 \) into \( f(x)=80 - 15x \).
\( f(2.5)=80-15\times2.5 \)
\( =80 - 37.5 \)
\( = 42.5 \)

Step2: Calculate A(2.5)

Substitute \( x = 2.5 \) into \( A(x)=25 + 10x \).
\( A(2.5)=25+10\times2.5 \)
\( =25 + 25 \)
\( = 50 \)

Step3: Compare f(2.5) and A(2.5)

Since \( 42.5<50 \), \( A(x) \) has a greater value when \( x = 2.5 \).

Answer:

A(x) (the option: A(x))