Mathematics

Donovan Townsend

9 November, 17:03

1. Does the function show a direct linear variation, quadratic variation, or inverse variation? Explain.

A. f (x) + 1/8 x^2

B. xy = 9

C. p (x) = x/11

2. The amount of time, t, Miranda spends cross-country skiing varies directly with the number of miles, m, she skis. Suppose Miranda skis 2 mi in 0.5 h. A. Write a direct variation equation relating this information. B. Use your direct variation equation from Part A to determine how much time it takes Miranda to ski 5.2 mi.

3. The length, d, of a violin string varies inversely as the frequency, f, of its vibrations (cycles per second). Suppose it is known that a 16-in.-long violin string vibrates 320 cycles per second. A. Write an inverse variation equation modeling this information. B. Use your inverse variation equation from Part A to determine the frequency of an 8-in.-long violin string.