Solve the follwing. Provide complete solutions. 1. If y varies directly as x, and x = 13 when y = 26, find x if y = 31. 2. y varies directly as the cube of x. If y = 243 when x = 3, find y if x = 29. 3. The circumference C of a circle varies directly as its radius r.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 15P
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Solve the follwing. Provide complete solutions.

1. If y varies directly as x, and x = 13 when y = 26, find x if y = 31.

2. y varies directly as the cube of x. If y = 243 when x = 3, find y if x = 29.

3. The circumference C of a circle varies directly as its radius r.

a. What is the constant of variation?

b. What is the circumference of a circle whose radius measures 7 cm?

c. Find the radius of a circle whose cricumference is 75/2 cm?

 

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