Alice has a puppy and a kitten. The puppy weighs 4 pounds and grows at a rate of 1 pound per month. The kitten weighs 2 pounds and grows at a rate of 2 pounds per month. Compare after the given months:
Quantity A: Weight of the puppy after 8 months
Quantity B: Weight of the kitten after 7 months.
Quantity A: Weight of the puppy after 8 months
Quantity B: Weight of the kitten after 7 months.
Show Hint
- The two quantities are equal
- Quantity A is greater
- Quantity B is greater
- The relationship cannot be determined
The Correct Option is C
Solution and Explanation
\[ \text{Initial weight} = 4 \quad \text{Growth rate} = 1 \, \text{per month} \] \[ \text{Weight after 8 months} = 4 + (8 \times 1) = 12 \]
Step 2: Calculate the weight of the kitten after 7 months.
\[ \text{Initial weight} = 2 \quad \text{Growth rate} = 2 \, \text{per month} \] \[ \text{Weight after 7 months} = 2 + (7 \times 2) = 16 \]
Step 3: Compare the two values.
\[ \text{Puppy weight} = 12, \quad \text{Kitten weight} = 16 \] Thus, Quantity B is greater.
Final Answer: \[ \boxed{\text{Quantity B is greater}} \]
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