Question

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.

• A. The two quantities are equal
• B. Quantity A is greater
• C. Quantity B is greater
• D. The relationship cannot be determined

Hint:

Always compute growth problems step-by-step: start weight + (rate × time). Then compare quantities.

Answer 1

The Correct Option is C

Step 1: Calculate the weight of the puppy after 8 months.
\[ \text{Initial weight} = 4 \quad \text{Growth rate} = 1 \, \text{per month} \] \[ \text{Weight after 8 months} = 4 + (8 \times 1) = 12 \]
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: \[ \boxed{\text{Quantity B is greater}} \]