Math Problem Set 2

  1. The final price of an item is F. The initial price is P. If the item is on sale for 22% off but subject to a 19% tax, find the value of P in terms of F.
  2. The quantity of pens supplied can be described as a function of price (p) such that . The quantity of pens demanded can be described as a function of price(p) such that How do s(p) and d(p) differ? A market clears when supply equals demand. At what quantity and price does the market clear?
  3. Sarah jogs 2 miles at 11 minutes per mile and then walks for 3 miles at 17 minutes per mile. What is her average rate in miles per minute.
  4. Jon cycles every Sunday. This past Sunday, he rode 20 miles at 12 miles per hour and another 40 miles at 25 miles per hour. What is his average rate?
  5. What is the area of a trapezoid?
  6. What is the midpoint formula?
  7. Twelve students compete for President, Vice President, and Secretary. How many winning sets could be formed?
  8. Fifteen students compete to join the Economics club. There are only four spots. How many different groups of students could be made?