Final answer:
An equation to estimate the baby's birth weight is set up based on the provided growth information, resulting in a miscalculation that suggests an implausible birth weight of 260 pounds. There must be a typo or misinterpretation since typical newborns weigh between 5.5 to 10 pounds.
Step-by-step explanation:
To estimate the baby's birth weight, we can set up the equation based on the information given that a baby usually gains 10% of its birth weight plus 2 pounds in the first six weeks after birth. If one baby gained 28 pounds during this time, we can represent the birth weight as x and write the equation as:
0.10x + 2 = 28
This equation reflects the total weight gain consisting of 10% of the birth weight (birth weight gain) and an additional 2 pounds.
To solve for x, we subtract 2 from both sides:
0.10x = 28 - 2
0.10x = 26
Now, divide both sides by 0.10 to isolate x:
x = 26 ÷ 0.10
x = 260
Therefore, the estimated birth weight of the baby is 260 pounds, which is clearly an error. A typical newborn weight is much less, between 5.5 to 10 pounds usually. There must be a mistake in the initial information provided or the way the question is interpreted, as a 260-pound birth weight is not biologically plausible for a human infant.