A duck’s mass at birth was 0.05 kilogram. The duck gained approximately 0.042 kilograms each week.

After how many weeks is the duck’s mass 0.890 kilograms?

1 answer

The duck gained 0.042 kilograms per week, so we can express its mass as a linear function of weeks as M = 0.042W + 0.05, where M is the mass in kilograms and W is the number of weeks.

We want to find the number of weeks when the mass is 0.890 kilograms, so we can set up the equation:

0.890 = 0.042W + 0.05

Subtracting 0.05 from both sides:

0.89 - 0.05 = 0.042W

0.84 = 0.042W

Dividing both sides by 0.042:

W = 0.84 / 0.042

W ≈ 20

Therefore, the duck's mass will be 0.890 kilograms after approximately 20 weeks.