Use the four-step procedure for solving variation problems given on page 480 to solve Exercises 1–10. 1. y varies directly as x. y = 65 when x = 5. Find y when x = 12. 2. y varies directly as x. y = 45 when x = 5. Find y when x = 13. 3. y varies inversely as x. y = 12 when x = 5. Find y when x = 2. 4. y varies inversely as x. y = 6 when x = 3. Find y when x = 9. 5. y varies directly as x and inversely as the square of z. y = 20 when x = 50 and z = 5. Find y when x=3 and z = 6. 6. a varies directly as b and inversely as the square of c. a = 7 when b = 9 and c=6. Find a when b= 4 and c= 8. 7. y varies jointly as x and z. y = 25 when x = 2 and z = 5. Find y when x = 8 and z = 12. 8. C varies jointly as A and T. C = 175 when A = 2100 and T = 4. Find C when A = 2400 and T = 6. 9. y varies jointly as a and b, and inversely as the square root of c. y = 12 when a = 3, b = 2, and c = 25. Find y when a = 5, b = 3, and c = 9. 10. y varies jointly as m and the square of n, and inversely as p. y = 15 when m = 2, n = 1, and p = 6. Find y when m = 3, n = 4, and p = 10.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the four-step procedure for solving variation problems given
on page 480 to solve Exercises 1–10.
1. y varies directly as x. y = 65 when x = 5. Find y when
x = 12.
2. y varies directly as x. y = 45 when x = 5. Find y when
x = 13.
3. y varies inversely as x. y = 12 when x = 5. Find y when
x = 2.
4. y varies inversely as x. y = 6 when x = 3. Find y when
x = 9.
5. y varies directly as x and inversely as the square of z. y = 20
when x = 50 and z = 5. Find y when x=3 and z = 6.
6. a varies directly as b and inversely as the square of c. a = 7
when b = 9 and c=6. Find a when b= 4 and c= 8.
7. y varies jointly as x and z. y = 25 when x = 2 and z = 5.
Find y when x = 8 and z = 12.
8. C varies jointly as A and T. C = 175 when A = 2100 and
T = 4. Find C when A = 2400 and T = 6.
9. y varies jointly as a and b, and inversely as the square root
of c. y = 12 when a = 3, b = 2, and c = 25. Find y when
a = 5, b = 3, and c = 9.
10. y varies jointly as m and the square of n, and inversely as p.
y = 15 when m = 2, n = 1, and p = 6. Find y when
m = 3, n = 4, and p
= 10.
Transcribed Image Text:Use the four-step procedure for solving variation problems given on page 480 to solve Exercises 1–10. 1. y varies directly as x. y = 65 when x = 5. Find y when x = 12. 2. y varies directly as x. y = 45 when x = 5. Find y when x = 13. 3. y varies inversely as x. y = 12 when x = 5. Find y when x = 2. 4. y varies inversely as x. y = 6 when x = 3. Find y when x = 9. 5. y varies directly as x and inversely as the square of z. y = 20 when x = 50 and z = 5. Find y when x=3 and z = 6. 6. a varies directly as b and inversely as the square of c. a = 7 when b = 9 and c=6. Find a when b= 4 and c= 8. 7. y varies jointly as x and z. y = 25 when x = 2 and z = 5. Find y when x = 8 and z = 12. 8. C varies jointly as A and T. C = 175 when A = 2100 and T = 4. Find C when A = 2400 and T = 6. 9. y varies jointly as a and b, and inversely as the square root of c. y = 12 when a = 3, b = 2, and c = 25. Find y when a = 5, b = 3, and c = 9. 10. y varies jointly as m and the square of n, and inversely as p. y = 15 when m = 2, n = 1, and p = 6. Find y when m = 3, n = 4, and p = 10.
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