Math Problem Set 6

 

teaneck

 

 

 

 

  1. The table above describes the number of respondents to a survey from 5 New Jersey towns with varying education levels. Use the table above to answer the following questions.
    1. A resident from the Teaneck/Bergenfield district is randomly selected. What is the probability that this respondent completed high school only?
    2. If this data is representative of 16,000 residents in Tenafly, approximately how many Tenafly residents completed post graduate school education?
    3. What percentage of respondents who completed college and graduate school lived in New Milford or Bergenfield?
    4. Suppose that the average years of high school education is 12, college education 16, graduate school education 18, and post graduate school education 22. Find the average number of years of education for Tenafly residents.
  2. Alan is standing on a hill 80 feet high. He throws a baseball upward with an initial velocity of 64 feet per second. The height of the ball h(t) in terms of the time t since the ball was thrown is h(t) = -16t² + 64t + 80.
    1. Find the time that the ball reaches its max height
    2. Find the max height
    3. Find the time when the ball hits the ground
  3. Jessica, who has a bionic arm, is crossing a bridge over a small gorge and decides to toss a coin into the stream below for luck.  The distance of the coin above the water can be modeled by the function y = 16x² + 96x +112, where x measures the time in seconds and y measures the height, in feet, above the water.
    1. Find the greatest height the coin reaches before it drops into the water below.
    2. Find the time at which the coin hits the water.
  4. Sam walks 6 miles and 3.4mph and another 4 miles at 2.7 mph. What is his average rate?
  5. Golan cycles 20 miles on Sunday at 35 mph and another 25 miles on Monday at 30mph. What is his average rate?
  6. Michelle runs 2 miles at 6mph and another 7 miles at 8mph. What is her average rate?