1. does the function show a direct linear variation, quadratic variation, or inverse variation? explain.

a. f(x) = 1/8x^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.

Which equation represents the line that passes through the points and (4, 10) and (2, 7)? y = 3/2x - 11y = 3/2x +4y = - 3/2x + 19y = - 3/2x + 16

Which themes are portrayed in this excerpt from leo tolstoy’s the death of ivan ilyich? praskovya fedorovna came of a good family, was not bad looking, and had some little property. ivan ilyich might have aspired to a more brilliant match, but even this was good. he had his salary, and she, he hoped, would have an equal income. she was well connected, and was a sweet, pretty, and thoroughly correct young woman. to say that ivan ilyich married because he fell in love with praskovya fedorovna and found that she sympathized with his views of life would be as incorrect as to say that he married because his social circle approved of the match. he was swayed by both these considerations: the marriage gave him personal satisfaction, and at the same time it was considered the right thing by the most highly placed of his associates. so ivan ilyich got married. conforming to social conventions criticism of a middle class lifestyle the destructive impact of loneliness struggling to face reality the necessity of companionship

Cody started biking to the park traveling 15 mph, after some time the bike got a flat so cody walked the rest of the way, traveling 4 mph. if the total trip to the park took 6 hours and it was 46 miles away, how long did cody travel at each speed? solve using rate times time= distance