Please help me with the answer to the Free Response on USATestPrep!!

Question:

Determine the average rate of change for the following questions. Show your work.

1. It takes a rocket 30 seconds to travel 1 mile above the earth’s surface and 1 1/2 minutes to travel 6 miles. What is the rate of change per second for the entire trip?

2. What is the rate of change for the same rocket to complete its trip after the first mile?

3. Graph both answers; show the rate of change for the first mile and the rate of change after the first mile. (y = 2 1/2 units equal one mile, x = one unit equals 10 seconds)

Sara has 2 2/3 cup taco meat. she needs 1/6 cup to make one taco. how many tacos can sara make with the taco meat she has?

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus2.00, minus1.00, 0, 1.00, 2.00? why? a. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. b. the z score of 0 is most preferable because it corresponds to a test score equal to the mean. c. the z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. d. the z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average