Question
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which situation is best represented by following equation?
45w + 123.95 + 753.95
A erica paid 753.95 for dance classes. she paid a 123.95 registration fee and 45 for each week was enrolled in classes/ what is w, the number of weeks erica was enrolled in dance class?
B erica paid 753.95 for dance classes. she paid a 45 regristration fee and 123.95 for each week she was enrolled in the classes. what is w, the number of weeks erica was enrolled in dance classes?
C erica and her sister paid 753.95 for dance classes. erica paid 123.95 for each week she was enrolled in the classes, and he sister paid 45 for each week she was enrolled in the classes. what is w, the number of weeks erica and her sister we enroled in dance classes
D erica paid 753.95 for dance classes. she paid 123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. what is w, the number of weeks erica was enrolled in dance classes
which situation is best represented by following equation?
45w + 123.95 + 753.95
A erica paid 753.95 for dance classes. she paid a 123.95 registration fee and 45 for each week was enrolled in classes/ what is w, the number of weeks erica was enrolled in dance class?
B erica paid 753.95 for dance classes. she paid a 45 regristration fee and 123.95 for each week she was enrolled in the classes. what is w, the number of weeks erica was enrolled in dance classes?
C erica and her sister paid 753.95 for dance classes. erica paid 123.95 for each week she was enrolled in the classes, and he sister paid 45 for each week she was enrolled in the classes. what is w, the number of weeks erica and her sister we enroled in dance classes
D erica paid 753.95 for dance classes. she paid 123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. what is w, the number of weeks erica was enrolled in dance classes
Answers
Answer
make it shorter
Answer
option what?
Answer
option ** do you mean A?
Answer
so A?
Answered by
GPT-4o mini
To solve the equation \(45w + 123.95 + 753.95\) and identify the best situation represented by it, let's break it down:
1. **Understanding the Components**:
- \(45w\) represents a variable cost, where \(w\) is the number of weeks enrolled and \(45\) is the cost per week.
- \(123.95\) is a fixed cost, possibly a registration fee.
- \(753.95\) is a total cost that might represent the total amount Erica paid for the classes.
2. **Analyzing Each Option**:
- **Option A**: Erica pays a registration fee \(123.95\) and an additional \(45\) for each week she is enrolled, with a total cost of \(753.95\). This option can be modeled as:
\[
Total = Registration + (Cost\ per\ week \times Number\ of\ weeks)
\]
So, it fits the equation:
\[
45w + 123.95 = 753.95
\]
This simplifies to \(45w = 753.95 - 123.95\).
- **Option B**: The registration fee is \(45\) and the weekly cost is \(123.95\). The equation here would not support the original, as it would be:
\[
Total = 45 + 123.95 w
\]
This does not match \(45w + 123.95 + 753.95\).
- **Option C**: Erica and her sister together paid \(753.95\). If Erica is paying \(123.95\) per week and her sister is paying \(45\) per week, it creates an issue as one cost is based on Erica and the other on her sister, not fitting the equation directly.
- **Option D**: Erica pays a fixed registration fee of \(123.95\) and \(45\) dollars less from her weekly payment. This would mean she is effectively only paying \(0\) per week if she used a coupon; hence the equation doesn't represent this scenario correctly as it modifies the weekly cost outright.
3. **Conclusion**:
- The situation described in **Option A** fits the equation best. It specifies that Erica pays \(753.95\) total for classes with a \(123.95\) registration fee and \(45\) for each week of enrollment, thus:
\[
45w + 123.95 = 753.95
\]
Hence, the correct option is **A**.
This reasoning shows that the equation represents a situation where a weekly cost is added to a registration fee to reach a total, which aligns perfectly with how Option A has been presented.
1. **Understanding the Components**:
- \(45w\) represents a variable cost, where \(w\) is the number of weeks enrolled and \(45\) is the cost per week.
- \(123.95\) is a fixed cost, possibly a registration fee.
- \(753.95\) is a total cost that might represent the total amount Erica paid for the classes.
2. **Analyzing Each Option**:
- **Option A**: Erica pays a registration fee \(123.95\) and an additional \(45\) for each week she is enrolled, with a total cost of \(753.95\). This option can be modeled as:
\[
Total = Registration + (Cost\ per\ week \times Number\ of\ weeks)
\]
So, it fits the equation:
\[
45w + 123.95 = 753.95
\]
This simplifies to \(45w = 753.95 - 123.95\).
- **Option B**: The registration fee is \(45\) and the weekly cost is \(123.95\). The equation here would not support the original, as it would be:
\[
Total = 45 + 123.95 w
\]
This does not match \(45w + 123.95 + 753.95\).
- **Option C**: Erica and her sister together paid \(753.95\). If Erica is paying \(123.95\) per week and her sister is paying \(45\) per week, it creates an issue as one cost is based on Erica and the other on her sister, not fitting the equation directly.
- **Option D**: Erica pays a fixed registration fee of \(123.95\) and \(45\) dollars less from her weekly payment. This would mean she is effectively only paying \(0\) per week if she used a coupon; hence the equation doesn't represent this scenario correctly as it modifies the weekly cost outright.
3. **Conclusion**:
- The situation described in **Option A** fits the equation best. It specifies that Erica pays \(753.95\) total for classes with a \(123.95\) registration fee and \(45\) for each week of enrollment, thus:
\[
45w + 123.95 = 753.95
\]
Hence, the correct option is **A**.
This reasoning shows that the equation represents a situation where a weekly cost is added to a registration fee to reach a total, which aligns perfectly with how Option A has been presented.
Answered by
GPT-4o mini
To find the situation represented by the equation \(45w + 123.95 + 753.95\), let's analyze:
1. **Equation Breakdown**:
- \(45w\): Cost per week for \(w\) weeks.
- \(123.95\): Likely a registration fee.
- \(753.95\): Total cost Erica paid for dance classes.
2. **Evaluate Options**:
- **Option A**: Erica pays a registration fee of \(123.95\) and \(45\) weekly for \(w\) weeks, leading to the equation:
\[
Total = 123.95 + 45w = 753.95
\]
Matches the breakdown, therefore correct.
- **Option B**: Incorrect; registration fee and weekly cost are swapped.
- **Option C**: Discusses both Erica and her sister; does not fit the equation format.
- **Option D**: Incorrectly alters costs with a coupon.
3. **Conclusion**: Option **A** is the best representation of the equation, confirming that Erica's total payment includes both a registration fee and a weekly charge.
1. **Equation Breakdown**:
- \(45w\): Cost per week for \(w\) weeks.
- \(123.95\): Likely a registration fee.
- \(753.95\): Total cost Erica paid for dance classes.
2. **Evaluate Options**:
- **Option A**: Erica pays a registration fee of \(123.95\) and \(45\) weekly for \(w\) weeks, leading to the equation:
\[
Total = 123.95 + 45w = 753.95
\]
Matches the breakdown, therefore correct.
- **Option B**: Incorrect; registration fee and weekly cost are swapped.
- **Option C**: Discusses both Erica and her sister; does not fit the equation format.
- **Option D**: Incorrectly alters costs with a coupon.
3. **Conclusion**: Option **A** is the best representation of the equation, confirming that Erica's total payment includes both a registration fee and a weekly charge.
Answered by
GPT-4o mini
The correct option is **A**. Erica paid \(753.95\) for dance classes, which includes a \(123.95\) registration fee and \(45\) for each week she was enrolled in classes. Therefore, it fits the equation \(45w + 123.95 = 753.95\), where \(w\) is the number of weeks.
Answered by
GPT-4o mini
Yes, I meant option **A**. Thank you for clarifying! To summarize, option **A** is the correct choice because it accurately describes the situation represented by the equation \(45w + 123.95 = 753.95\).
Answered by
GPT-4o mini
Yes, that's correct! The answer is **A**.