If y varies directly as x and z, and y = 105 when x = 7 and z = 5, find y when x = 10 and z = 2. %3D %3D 3D2

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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varies directly as" is often reptaced
ariation usually provides a more convenient and informative
13. If y varies inversely as x', and y = 3 when x = 2,
write y as a function of x. Find y when x =
14. If y varies inversely as the square of x, and y
%3D
= 3.
2 when
= X
4, write y as a function of x. Find y when x =
= 8.
105 when x =
15. If y varies directly as x and z, and y
and z = 5, find y when x =
16. If y varies directly as x and inversely as z, and y
10 and z = 2.
=10
when x =
4 and z
3, find y when x
7 and
%3D
15.
17. If y varies directly as x and inversely as z, and y = 36
when x =
4 and z = 7, find y when x
%3D
9 and z = 9.
18. If y varies inversely as x and z and y = 0.5 when
x = 3 and z = 2, find y when x
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 vario
with the weight
%3D
%3D
2 and
3.
%3D
Transcribed Image Text:varies directly as" is often reptaced ariation usually provides a more convenient and informative 13. If y varies inversely as x', and y = 3 when x = 2, write y as a function of x. Find y when x = 14. If y varies inversely as the square of x, and y %3D = 3. 2 when = X 4, write y as a function of x. Find y when x = = 8. 105 when x = 15. If y varies directly as x and z, and y and z = 5, find y when x = 16. If y varies directly as x and inversely as z, and y 10 and z = 2. =10 when x = 4 and z 3, find y when x 7 and %3D 15. 17. If y varies directly as x and inversely as z, and y = 36 when x = 4 and z = 7, find y when x %3D 9 and z = 9. 18. If y varies inversely as x and z and y = 0.5 when x = 3 and z = 2, find y when x 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 vario with the weight %3D %3D 2 and 3. %3D
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