A duck's mass at birth was 0.05 kilogram. The duck gained approximately 0.042 kilogram each week. After how many weeks is the duck's mass 0.890 kilogram?

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Slenderpig578 Slenderpig578

17-04-2017
Mathematics

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A duck's mass at birth was 0.05 kilogram. The duck gained approximately 0.042 kilogram each week. After how many weeks is the duck's mass 0.890 kilogram?

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taskmasters taskmasters · Answer 1 · 2017-04-26T18:13:36+02:00

Given that the first mass of the duck is 0.05 kg and it gains weight at a rate of 0.042 kg/week, the equation that would represent this scenario is,
y = 0.05 + 0.042x
where y is weight and x is the number of weeks. To determine the number of weeks in which the duck's mass becomes 0.890,
0.890 = 0.05 + 0.042x
The value of x from the equation is 20.