Question

Baby calf weighs 150 pounds at birth and gains 2 lbs each day. How many days to get to 224lbs? Write and solve and equation using “d” days for how old he is at 224 pounds.

Answer 1

To find out how many days it takes for the baby calf to reach 224 pounds, we can set up the following equation:

1. Start with the initial weight of the calf and the daily weight gain:
- Initial weight = 150 pounds
- Daily gain = 2 pounds/day

2. The weight of the calf after \( d \) days can be expressed as:
\[
\text{Weight} = 150 + 2d
\]

3. We want to find out when the calf's weight reaches 224 pounds:
\[
150 + 2d = 224
\]

4. Now we can solve for \( d \):

- Subtract 150 from both sides:
\[
2d = 224 - 150
\]
\[
2d = 74
\]

- Divide both sides by 2:
\[
d = \frac{74}{2}
\]
\[
d = 37
\]

The calf will reach 224 pounds in **37 days**.