Question

12.
write an equation to model the situation:
for the first year of life, a baby born at
6 - lb will triple its weight each month.

Explanation:

Step1: Define variables

Let \( y \) be the weight of the baby (in pounds) after \( x \) months, and the initial weight \( a = 6 \) pounds, the growth factor \( b = 3 \) (since it triples each month).

Step2: Use exponential growth formula

The general formula for exponential growth is \( y=a\times b^{x} \). Substituting \( a = 6 \) and \( b = 3 \) into the formula, we get the equation.

Answer:

\( y = 6\times3^{x} \) (where \( x \) is the number of months and \( 0\leq x\leq12 \), \( y \) is the weight in pounds)