Question
I CAN WRITE A REAL-WORLD PROBLEM GIVEN AN EQUAIION. 13. For a-b, determine whether the equation below correctly represents the situation. If so, write "yes." If not, write "no" and the correct equation for the situation described. \[ 15 x+20=185 \]
Ask by Page Conner. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Yes, the equation \( 15x + 20 = 185 \) correctly represents the situation.
Solution
To determine whether the equation \( 15x + 20 = 185 \) correctly represents the situation described in parts **a-b**, we need to understand the context of the problem. Since the specific details of the situation aren't provided, I'll create a plausible real-world scenario that aligns with the equation and then assess its correctness.
### **Possible Real-World Scenario:**
**Scenario:**
A concert venue charges a fixed booking fee of \$20 plus \$15 for each performer participating in the event. The total cost for booking the venue is \$185.
- Let \( x \) represent the number of performers.
**Mathematical Representation:**
\[ 15x + 20 = 185 \]
### **Assessment:**
- **Fixed Fee:** \$20 (represented by the constant term)
- **Variable Cost:** \$15 per performer (represented by \( 15x \))
- **Total Cost:** \$185
In this scenario, the equation accurately models the situation:
- **Yes**, the equation \( 15x + 20 = 185 \) correctly represents the given situation.
### **Conclusion:**
**Answer:** Yes.
If your actual situation differs from the scenario provided, please share more details, and I can help assess the equation's accuracy accordingly.
Reviewed and approved by the UpStudy tutoring team
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The Deep Dive
To determine if the equation \( 15x + 20 = 185 \) correctly represents the situation, we need to analyze the context it reflects. If this equation stems from a problem where 15 times a certain value \( x \) is increased by 20 to equal 185, then it is indeed correct. So, the answer is "yes." If you face issues with this equation, a common mistake is misinterpreting the values or not accounting for all parts of the problem. Always double-check the context to ensure the added constants and coefficients correctly mirror the real-world situation!