A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks the sheet is only 2.4 meters thick
let y be ice sheet thickness (in meters) after week
Answers
Given : A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks the sheet is only 2.4 meters thick
let y be ice sheet thickness (in meters) after week
To Find : Function of y in terms of weeks w
Solution:
thickness to decrease at a rate of 0.2 meters per week.
Hence its a linear function
y = aw + b
a = -0.2 m per week
b = initial thickness
w = number of weeks
y = -0.2w + b
After 7 weeks the sheet is only 2.4 meters thick
=> 2.4 = -0.2(7) + b
=> 2.4 = -1.4 + b
=> b = 3.8
y(w) = -0.2w + 3.8
Function of y in terms of weeks w
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Answer:
Step-by-step explanation:
A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333weeks, the sheet is only 1.251