2. Which situation can be represented by the equation $$ 1 \frac{1}{4} imes 6=7 \frac{1}{2} $$ ? A. It took Calvin $$ 1 \frac{1}{4} $$ hours to run 6 miles. He ran $$ 7 \frac{1}{2} $$ miles per hour. 8. Sara read for $$ 1 \frac{1}{4} $$ hours every day for 6 days. She read for a total of $$ 7 \frac{1}{2} $$ hours. C. Matthew addressed $$ 1 \frac{1}{4} $$ envelopes in 6 minutes. He addressed $$ 7 \frac{1}{2} $$ envelopes per minute. D. It took Both $$ 1 \frac{1}{4} $$ minutes to paint 6 feet of a board. She painted a total of $$ 7 \frac{1}{2} $$ feet of the board. $$ \$ $$ What are the Key words in 3 that tell us it is multiplicution?

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2. Which situation can be represented by the equation $$ 1 \frac{1}{4} 	imes 6=7 \frac{1}{2} $$ ? A. It took Calvin $$ 1 \frac{1}{4} $$ hours to run 6 miles. He ran $$ 7 \frac{1}{2} $$ miles per hour. 8. Sara read for $$ 1 \frac{1}{4} $$ hours every day for 6 days. She read for a total of $$ 7 \frac{1}{2} $$ hours. C. Matthew addressed $$ 1 \frac{1}{4} $$ envelopes in 6 minutes. He addressed $$ 7 \frac{1}{2} $$ envelopes per minute. D. It took Both $$ 1 \frac{1}{4} $$ minutes to paint 6 feet of a board. She painted a total of $$ 7 \frac{1}{2} $$ feet of the board. $$ \$ $$ What are the Key words in 3 that tell us it is multiplicution?

UpStudy AI · Accepted Answer

To determine which situation can be represented by the equation $$ 1 \frac{1}{4} 	imes 6 = 7 \frac{1}{2} $$, we need to analyze each option step by step.

1. **Understanding the equation**: 
   - The left side $$ 1 \frac{1}{4} 	imes 6 $$ suggests that we are multiplying a quantity (in this case, $$ 1 \frac{1}{4} $$) by 6, which indicates a repeated addition or scaling of that quantity.
   - The right side $$ 7 \frac{1}{2} $$ represents the total result of that multiplication.

2. **Analyzing each option**:
   - **A**: It took Calvin $$ 1 \frac{1}{4} $$ hours to run 6 miles. He ran $$ 7 \frac{1}{2} $$ miles per hour.
     - This suggests a rate of speed, which does not fit the multiplication context of the equation.
   
   - **B**: Sara read for $$ 1 \frac{1}{4} $$ hours every day for 6 days. She read for a total of $$ 7 \frac{1}{2} $$ hours.
     - This fits the multiplication context: $$ 1 \frac{1}{4} $$ hours per day multiplied by 6 days gives the total hours read.
   
   - **C**: Matthew addressed $$ 1 \frac{1}{4} $$ envelopes in 6 minutes. He addressed $$ 7 \frac{1}{2} $$ envelopes per minute.
     - This suggests a rate of work, which does not fit the multiplication context of the equation.
   
   - **D**: It took Both $$ 1 \frac{1}{4} $$ minutes to paint 6 feet of a board. She painted a total of $$ 7 \frac{1}{2} $$ feet of the board.
     - This also suggests a rate of work, which does not fit the multiplication context of the equation.

3. **Conclusion**:
   - The only situation that correctly represents the equation $$ 1 \frac{1}{4} 	imes 6 = 7 \frac{1}{2} $$ is **B**: Sara read for $$ 1 \frac{1}{4} $$ hours every day for 6 days. She read for a total of $$ 7 \frac{1}{2} $$ hours.

### Key Words Indicating Multiplication
In option B, the key words that indicate multiplication are:
- "every day" (implying repeated addition or multiplication)
- "total" (indicating the result of multiplying the daily hours by the number of days)

These phrases suggest that the total reading time is the product of the hours read each day and the number of days.
Option B is the correct situation. It says Sara read for $$1 \frac{1}{4}$$ hours each day for 6 days, totaling $$7 \frac{1}{2}$$ hours. The key words "every day" and "total" indicate multiplication.

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