Final answer:
Carson plans to gain 2 lb per month for 4 months, starting at 40 kg. After converting the pounds to kilograms, he aims to gain 3.628 kg, resulting in a projected weight of 43.628 kg at the end of 4 months.
Step-by-step explanation:
Carson's plan of care is to gain 2 lb each month for the next 4 months. He currently weighs 40 kg. To find out how much Carson should weigh at the end of this period, we need to convert the pounds he will gain into kilograms (since his current weight is given in kilograms) and then add it to his current weight.
First, we know that 1 kg = 2.205 pounds. Therefore, to gain 2 lb each month, Carson would need to gain approximately 0.907 kg (since 2 ÷ 2.205 ≈ 0.907 kg).
In 4 months, the total weight Carson aims to gain is:
0.907 kg/month × 4 months = 3.628 kg
Adding this to his current weight:
40 kg + 3.628 kg = 43.628 kg.
Therefore, at the end of 4 months, Carson should weigh 43.628 kg.