Question

The weight, in pounds, of a newborn baby tt months after birth can be modeled by the equation W, equals, t, plus, 7, .W=t+7. What is the yy-intercept of the equation and what is its interpretation in the context of the problem?
Answer
Attempt 1 out of 2

The yy-intercept of the function is
which represents

Answer 1

To find the \( y \)-intercept of the equation \( W = t + 7 \), we need to evaluate the equation when \( t = 0 \) (since the \( y \)-intercept is the point where the graph crosses the \( y \)-axis).

Substituting \( t = 0 \) into the equation:

\[
W = 0 + 7 = 7
\]

Thus, the \( y \)-intercept is 7.

### Interpretation:
In the context of the problem, the \( y \)-intercept of 7 represents the weight of the newborn baby at the time of birth (when \( t = 0 \) months). Therefore, it indicates that a newborn baby is estimated to weigh 7 pounds at birth.