To determine the function that describes the child's weight as a function of time in months, we can start with the initial weight and account for the monthly weight gain.
- The child is born at a weight of 8.5 lbs.
- The child gains 1.5 lbs every month.
Let \( x \) represent the number of months since birth. The child's weight will be the initial weight plus the weight gained over time. Therefore, the function can be expressed as:
\[ \text{weight} = \text{initial weight} + \text{(weight gain per month)} \times x \]
Substituting the known values:
\[ \text{weight} = 8.5 + 1.5x \]
This matches the form of function \( c \):
c. weight = 1.5x + 8.5
So, the correct answer is c.
1 answer