Tyler Expression 9D706E

1. **State the problem:** We want to find in which situations the information about Tyler can be represented by the expression $$r+3$$, where $$r$$ represents information about Ray. 2. **Understand the expression $$r+3$$:** This means Tyler's value is exactly 3 more than Ray's value. 3. **Analyze each option:** - Tyler is 3 years older than Ray: This means Tyler's age = Ray's age + 3, so $$r+3$$ fits. - Tyler is 3 inches taller than Ray: This means Tyler's height = Ray's height + 3, so $$r+3$$ fits. - Tyler is 3 pounds lighter than Ray: This means Tyler's weight = Ray's weight - 3, which is $$r-3$$, not $$r+3$$. - Tyler walked 3 miles farther than Ray: This means Tyler's distance = Ray's distance + 3, so $$r+3$$ fits. - Tyler spent one-third the amount Ray spent: This means Tyler's amount = $$\frac{1}{3}r$$, not $$r+3$$. 4. **Conclusion:** The three options that fit $$r+3$$ are: - Tyler is 3 years older than Ray. - Tyler is 3 inches taller than Ray. - Tyler walked 3 miles farther than Ray. **Final answer:** The expression $$r+3$$ represents Tyler's information in the first, second, and fourth situations.