4 of 254 of 25 Items
02:36
Question
Which situation is best represented by the following equation?
40w + 12.50 = 492.50
Responses
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?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?
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?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?
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?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?
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?
The equation in question is:
40w + 12.50 = 492.50
This equation suggests that Nicole has a certain cost per week for self-defense classes (represented by 40w, where w is the number of weeks), plus a one-time fee (represented by 12.50). The total amount paid is represented by 492.50.
The situation best represented by this equation is:
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?
This option correctly matches the cost per week (40w), the one-time registration fee (12.50), and the total amount paid (492.50) as given in the equation. To find out the number of weeks (w) that Nicole was enrolled, we would solve the equation.
5 of 255 of 25 Items
03:14
Question
2x + 5 = 10
What is the first operation used in solving this equation?
Responses
A additionaddition
B divisiondivision
C multiplicationmultiplication
D subtraction
The first operation used in solving the equation 2x + 5 = 10 is subtraction. You would start by subtracting 5 from both sides of the equation to isolate the term with the variable (2x) on one side.
So the correct response is:
D) subtraction
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.