Subjects algebra

Pitcher Glass 0D22C6

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1. **State the problem:** A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces. We need to find which model correctly shows this comparison. 2. **Write the relationship:** Let the amount the glass holds be $x$ ounces. Since the pitcher holds 8 times as much as the glass, we have: $$\text{Pitcher} = 8 \times \text{Glass}$$ 3. **Use the given value:** The pitcher holds 64 ounces, so: $$64 = 8x$$ 4. **Solve for $x$:** $$x = \frac{64}{8}$$ Show cancellation: $$x = \frac{\cancel{64}}{\cancel{8}} = 8$$ So, the glass holds 8 ounces. 5. **Interpret the models:** - The glass should be represented by 8 units (ounces). - The pitcher should be represented by 64 units (ounces), which is 8 times the glass. 6. **Check each model:** - Top-left: Glass has 8 question marks, pitcher has 1 question mark and 64 ounces. This does not match because pitcher should have 8 times the glass units. - Top-right: Glass has 1 question mark, pitcher has 8 question marks, and 64 ounces. This matches the relationship. - Bottom-left: Glass has 7 question marks, pitcher has 8 question marks, and 64 ounces. Glass should be 8 ounces, so 7 question marks is incorrect. - Bottom-right: Glass has 4 question marks, pitcher has 4 question marks, and 64 ounces. This does not match the 8 times relationship. **Final answer:** The top-right graph correctly models the comparison.