To find out how many days it will take for the baby elephant to weigh a total of 224 pounds, we start with its birth weight and the daily weight gain.
- The initial weight of the baby elephant at birth is 150 pounds.
- The baby elephant gains 2 pounds per day.
Let \( d \) be the number of days after birth. The weight of the baby elephant after \( d \) days can be calculated using the formula:
\[ \text{Weight} = \text{Initial Weight} + (\text{Daily Gain} \times d) \]
This can be expressed as:
\[ \text{Weight} = 150 + (2 \times d) \]
We are looking for the number of days \( d \) when the weight equals 224 pounds:
\[ 150 + (2 \times d) = 224 \]
Now, we can solve for \( d \):
- Subtract 150 from both sides:
\[ 2d = 224 - 150 \]
\[ 2d = 74 \]
- Divide both sides by 2:
\[ d = \frac{74}{2} = 37 \]
Thus, it will take the baby elephant 37 days to weigh a total of 224 pounds.