If y varies directly as x and inversely as z, and y = 10 when x = 4 and z = 3, find y when x = 7 and MAX z = 15.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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on "varies directly as" is often replaced by "IS propU
variation usually provides a more convenient and informat
at the vài
3 when x = 2,
13. If y varies inversely as x', and y
write y as a function of x. Find y when x = 3.
14. If y varies inversely as the square of x, and y =
x = 4, write y as a function of x. Find y when x =
15. If y varies directly as x and z, and y
and z
%3D
%3D
%3D
2 when
= 8.
105 when x =
7
5, find y when x =
10 and z = 2.
16. If y varies directly as x and inversely as z, and y = 10
%3D
when x =
4 and z
3, find y when x =
7 and
Z =
15.
17. If y varies directly as x and inversely as z, and y = 36
%3D
when x
4 and z =
7, find y when x =
9 and z = 9.
18. If y varies inversely as x and z and y
0.5 when
%3D
x = 3 and z =
19. In a spring to which Hooke's law applies (see Example 4).
a force of 15 lb stretches the spring 10 in. How far will the
spring be stretched by a force of 6 lb?
20. The weight of an object on the moon varies directly
with the weight of the object on Farth
2, find y when x
2 and z
3.
aat that
Transcribed Image Text:on "varies directly as" is often replaced by "IS propU variation usually provides a more convenient and informat at the vài 3 when x = 2, 13. If y varies inversely as x', and y write y as a function of x. Find y when x = 3. 14. If y varies inversely as the square of x, and y = x = 4, write y as a function of x. Find y when x = 15. If y varies directly as x and z, and y and z %3D %3D %3D 2 when = 8. 105 when x = 7 5, find y when x = 10 and z = 2. 16. If y varies directly as x and inversely as z, and y = 10 %3D when x = 4 and z 3, find y when x = 7 and Z = 15. 17. If y varies directly as x and inversely as z, and y = 36 %3D when x 4 and z = 7, find y when x = 9 and z = 9. 18. If y varies inversely as x and z and y 0.5 when %3D x = 3 and z = 19. In a spring to which Hooke's law applies (see Example 4). a force of 15 lb stretches the spring 10 in. How far will the spring be stretched by a force of 6 lb? 20. The weight of an object on the moon varies directly with the weight of the object on Farth 2, find y when x 2 and z 3. aat that
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