Achess competition has eliminations each round. the table below shows the number of players in each of the first 5 rounds of the tournament:

round (x) 1 2 3 4 5
players f(x) 256 128 64 32 16

compute the average rate of change of f(x) from x = 1 to x = 5 and identify the meaning of that rate.
−60; on average, there was a loss of 60 each round
−240; on average, there was a loss of 240 each round
4; there were 4 rounds between rounds 1 and 5
240; there were 240 fewer players between rounds 1 and 5

The marriott family bought a new apartment three years ago for $65,000. the apartment is now worth $86,515. assuming a steady rate of growth, what was the yearly rate of appreciation? what is the percent of the yearly rate of appreciation?

The ph level of a blueberry is 3.1 what is the hydrogen-ion concentration [h+] for the blueberry

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution