Q19 18.It is given that P is directly proportional to the cube root of Q. When Q = 64, P = 24.%3D(a) Express P in terms of Q.ExplainPeter claims that the value of P is halved when Q is halved. Do you agree? Explain your answer.19.It is given that y a (x+ 1)´. When x = 4, y = 100.(a) Express y in terms of x.(b) Find the value of y when x = 8.Find the percentage change in y when x is increased from 4 to 8.(c)

Variation: a) y∞(x+1)2 y=k(x+1)2 Where k is variation constant.this is the relation between x and y.

Answered: rms of Q. at the value of P is halved…

rms of Q. at the value of P is halved wher x+1)². When x = 4, y = 100. %3D rms of x. of y when x = 8. %3D ntage change in y when x is incr

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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Q19

18.
It is given that P is directly proportional to the cube root of Q. When Q = 64, P = 24.
%3D
(a) Express P in terms of Q.
Explain
Peter claims that the value of P is halved when Q is halved. Do you agree? Explain your answer.
19.
It is given that y a (x+ 1)´. When x = 4, y = 100.
(a) Express y in terms of x.
(b) Find the value of y when x = 8.
Find the percentage change in y when x is increased from 4 to 8.
(c)

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