3. A.2(D) The value of y is directly proportional to the value of x. When x = 4.5, the value of y is 14. What is thevalue of y when x = 27? (Page 26)means to make a proportionStep 1: Set up your proportion!Step 2: Solve for y using inverse operations!

Answered: Image /qna-images/answer/9ae80afb-7b40-406a-92b4-d788f485d20e.jpg

Answered: 3. A.2(D) The value of y is directly…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.7: Direct And Inverse Variation

Problem 39PS

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Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.
Tsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?
A quantity y varies inversely with the square of x. If y=8whenx=3 , find y when x is 4.
Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.

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3. A.2(D) The value of y is directly proportional to the value of x. When x = 4.5, the value of y is 14. What is the value of y when x = 27? (Page 26) means to make a proportion Step 1: Set up your proportion! Step 2: Solve for y using inverse operations! 11