To determine which situation is best represented by the equation 40w + 12.50 = 492.50, we need to analyze the equation and identify the values that match the given situation.
The equation represents the total amount Nicole paid for self-defense classes. Let's break it down:
40w represents the cost of each week Nicole was enrolled in the classes, multiplied by the number of weeks (w) she attended.
12.50 represents a registration fee that Nicole paid.
492.50 represents the total amount Nicole paid for the classes.
Now, let's match these values with the given situations in each response option:
A) Nicole paid $40 for self-defense classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
In this situation, Nicole paid $40 for the classes, which doesn't align with the equation. Therefore, we can eliminate this option.
B) Nicole paid $12.50 for self-defense classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
In this situation, Nicole paid $12.50 for the classes, which matches the registration fee in the equation. However, the other values don't align, as Nicole paid $40 per week, not $492.50. Therefore, we can eliminate this option as well.
C) Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
In this situation, Nicole paid $492.50 for the classes, which matches the total amount in the equation. She also paid a $40 registration fee, matching the equation's format. Additionally, Nicole paid $12.50 for each week she was enrolled, aligning with the equation's structure. Therefore, this option is a potential match.
D) Nicole paid $492.50 for self-defense classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. What is w, the number of weeks Nicole was enrolled in self-defense classes?
In this situation, Nicole paid $492.50 for the classes, which matches the total amount in the equation. She also paid a $12.50 registration fee, in alignment with the equation. Additionally, Nicole paid $40 for each week she was enrolled, which corresponds to the equation's structure. Therefore, this option is also a potential match.
Comparing options C and D, both match the equation in terms of the given values. However, option C states that Nicole paid $40 as a registration fee, which is more likely considering the fee nature. Thus, the best representation of the equation is:
C) Nicole paid $492.50 for self-defense classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Therefore, w, the number of weeks Nicole was enrolled in self-defense classes, can be found by solving the equation 40w + 12.50 = 492.50.