A baby duck has a mass of 0.045 kilograms at birth. The baby duck gains approximately 0.02 kilograms each week. After how many weeks will the duck’s mass be 19 times its mass at birth? solve

Answer 1

Let the number of weeks be represented by x.

The mass of the duck after x weeks can be expressed as:
0.045 + 0.02x

We are looking for the number of weeks when the duck's mass is 19 times its mass at birth, so we set up the following equation:
0.045 + 0.02x = 19(0.045)

Simplify the equation:
0.045 + 0.02x = 0.855
0.02x = 0.855 - 0.045
0.02x = 0.81
x = 0.81 / 0.02
x = 40.5

Therefore, after 40.5 weeks, the duck's mass will be 19 times its mass at birth. Since we can't have half a week, we can round up to 41 weeks.