After a baby was born, she began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an equation for W, commaW, in terms of t, commat, representing weight, in pounds, of the newborn baby tt months after birth.

Answer 1

To represent the weight \( W \) of the newborn baby \( t \) months after birth, we can formulate the equation based on the initial weight and the rate of weight gain.

The baby's initial weight at birth is 10 pounds, and she gains weight at a rate of 1.5 pounds per month. Therefore, the weight \( W \) after \( t \) months can be expressed as:

\[ W(t) = 10 + 1.5t \]

In this equation:

• \( W(t) \) represents the weight of the baby in pounds.
• \( 10 \) is the initial weight at birth.
• \( 1.5t \) is the total weight gained after \( t \) months.

So, the final equation is:

\[ W = 10 + 1.5t \]