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A result of global warming is that ice of some glaciers is melting. Twelve years after the ice disappears, tiny plants called lichen grows approximately in the shape of a circle. The relationship between the diameter of this circle and the age of the lichen can be approximated with the formula d= 7.0 for Where d= diameter of lichen in mm T=number of years after the ice has disappeared a) Using the formula calculate the diameter of the lichen 16 years after the ice disappeared.b) Anne measured the diameter of some lichen and found it was 35mm, how many years ago did the ice disappear at this spot? |
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Answer» Answer: a) d = 14 mm b) t = 37 years Step-by-step EXPLANATION: a) The correct formula showing the RELATIONSHIP is; d = 7 x √(t - 12) For t is >= 12 Now we have to determine the diameter of lichen after 16 years. Putting the VALUE of t d = 7 x √(16 - 12) d = 7 x √(4) d = 14 mm b) Now we are GIVEN diamtere = 35 35 = 7 x √(t - 12) 5 = √(t - 12) 25 = (t - 12) t = 25 + 12 t = 37 years |
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