In the mid-nineteenth century, explorers used the boiling point of water to esti

Question

In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude. The boiling temperature of water T(in -F) can be approximated by the model T = -1.83a + 212, where a is the altitude in thousands of feet. a. Determine the temperature at which water boils at an altitude of 7000 ft. Round your answer to the nearest hundredth. b. Two campers hiking in Colorado boil water for tea. If the water boils at 191 degree F, approximate the altitude of the campers. Give the result to the nearest hundred feet. If the altitude is 7000 feet, the temperature at which water boils is -3709, 290 degree F, Round your answer to the nearest hundredth. If water boils at 191 degree F, the altitude of the campers is approximately feet. Give the result to the nearest hundred feet. Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set. 7w - 2 = 4(w - 1) + 5 + 3w 7w - 2 = 4(w - 1) + 5 3w is (select) The solution set is Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set. -(9 - 4x) = 4(2x - 8) - 4x +23 -(9 - 4x) = 4(2x - 8) - 4x +23 is (select) The solution set is

Explanation / Answer

T = -1.83 a + 212

a) temperature for altitude 7000 ft

plugging a = 7 and finding T

T = -1.83(7) + 212

T = 199.19 degrees F

b) plugging T = 191

191 = -1.83 a + 212

subtracting 212 from both sides

-21 / -1.83 = a

a = 11.48

altitude = 11480 feet

2) 7w - 2 = 4 ( w -1 ) + 5 + 3w

7w - 2 = 4w - 4 + 5 + 3w

7w -2 = 7w + 1

-2 = 1

this equation has no solutions

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