Question
Anumeha mows lawns. She charges an initial fee and a constant fee for each hour of work. \( F \) represents Anumeha's fee (in dollars) for working \( t \) hours. \( F=6+12 t \) How much does Anumeha charge for each hour of work?
Ask by Parry Vargas. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Anumeha charges $12 for each hour of work.
Solution
Anumeha's pricing structure is given by the equation:
\[
F = 6 + 12t
\]
Here:
- \( F \) is the total fee in dollars.
- \( 6 \) represents the initial fee.
- \( 12t \) represents the fee based on the number of hours worked (\( t \)).
The coefficient of \( t \) in the equation (\( 12 \)) is the **constant fee per hour** that Anumeha charges for her work.
**Therefore, Anumeha charges \$12 for each hour of work.**
Answer: Anumeha charges $12 for each hour of work.
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Simplify this solution The Deep Dive
Anumeha charges $12 for each hour of work. This is because in her fee equation \( F = 6 + 12t \), the term \( 12t \) indicates that for every hour \( t \), she adds $12 to her initial fee. So, whether it's one hour or ten, that hourly rate stays the same! Interesting tidbit: The initial fee of $6 can be seen as a base charge that covers her costs before she even starts mowing. This initial pricing strategy is common in service industries, allowing providers to ensure they cover their time, effort, and other overhead expenses before pricing on an hourly basis.
