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Question 1 : A cooking show currently has about 223,000 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% per year. Which is the best prediction for the number of regular viewers the show will have in 6 years? = y = 223000(1-0.047)⁶ = 223000(0.953)⁶ = 167,056.
Question 2 : A population of 30,000 fish is expected to shrink at a rate of 7.5% per year. Which is the best prediction for the fish population in 8 years? = 30,000(1−7.5/100)8≈ 16078.9
Question 3 : Bromine-82 has a half-life of about 35 hours. After 140 hours, how many millilitres of an 80 ml sample will remain? = Divide 80(1/2)^4 to get 5.
Question 4 : Polonium-218 has a half-life of about 3 minutes. After 15 minutes, how many milligrams of a 120 mg sample will remain? = 3.75 mg
Question 8 : Pippa is holding the end of her kite string 1.4 m above the ground. The kite string rises at a 63° angle of elevation. Pippa has let out all 75 m of string. To the nearest tenth of a meter, how high above the ground is the kite? = 68.2 m
Question 9 : Using his telescope, Tommy watches a bald eagle as it sits on the top of a cliff. The telescope is positioned so that the line of sight to the eagle forms a 38° angle of elevation. The telescope sits 1.3 m above the ground and the base of the telescope is 116 m from the base of the cliff. To the nearest tenth of a meter, how high above the ground is the eagle? = 91.9 m
Question 10 : A photographer's camera sits on a tripod that is 1.8 m above the ground. The base of the tripod is 44 m from the base of a tree. The photographer spots a woodpecker in the tree at a 39° angle of elevation. To the nearest tenth of a meter, how high above the ground is the woodpecker? = 37.4 m