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.