h=11.2-0.125 d The ceiling height, h, in feet, for a particular room in a house a distance of d feet from the west wall is given by the equation. In order for the ceiling height to decrease by 1 foot, how much does the distance from the west wall change in feet? Choose 1 answer: (A) 0.125 (B) 8 (C) 11.2 (D) 89.6

Question

h=11.2-0.125 d The ceiling height,  h, in feet, for a particular room in a house a distance of  d feet from the west wall is given by the equation. In order for the ceiling height to decrease by 1 foot, how much does the distance from the west wall change in feet? Choose 1 answer: (A) 0.125 (B) 8 (C)  11.2 (D) 89.6

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Given Equation: We are given the equation h = 11.2 - 0.125d, where h is the ceiling height in feet and d is the distance from the west wall in feet. We want to find out how much d needs to change for h to decrease by 1 foot.Denote Initial Heights: Let's denote the initial height as h1 and the height after the decrease as h2. We know that h2 = h1 - 1 because the height decreases by 1 foot.Denote Initial Distances: Let's denote the initial distance from the west wall as d1 and the distance after the change as d2. We need to find the change in distance, which is d2 - d1.Express Heights in Terms: Using the given equation, we can express h1 and h2 in terms of d1 and d2 respectively: h1 = 11.2 - 0.125d1 h2 = 11.2 - 0.125d2Substitute Expressions: Since h2 = h1 - 1, we can substitute the expressions for h1 and h2: 11.2 - 0.125d2 = (11.2 - 0.125d1) - 1Simplify Equation: Simplify the equation by distributing the negative sign and combining like terms: 11.2 - 0.125d2 = 11.2 - 0.125d1 - 1Subtract Constant Term: Subtract 11.2 from both sides to get rid of the constant term: -0.125d2 = -0.125d1 - 1Solve for Change in Distance: Now, we can divide both sides by -0.125 to solve for d2 - d1: d2 - d1 = -1 / -0.125Calculate Change in Distance: Calculate the change in distance: d2 - d1 = 1 / 0.125 d2 - d1 = 8

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