Final Exam Part II –Extra Practice!

Answer all questions on a separate sheet(s) of paper. Clearly define all variables, and label all graphs appropriately. BOX YOUR ANSWERS for full credit.

  1. The table shows the distance you travel over a 4-hour period while running.

Years, x / Money in Savings, y
0.5 / 4
1.0
1.5 / 12
2.0
2.5 / 20
3.0 / 24
  1. What are the missing distances that makes the table linear?
  1. Write an equation that models the money,y as a function of years,x.
  1. Interpret the slope. Use words to describe what the slope means in the context of this particular situation.
  1. Predict the money you will have in your account after 9 years. Assume you earn the same rate on your money based on the table above.
  1. A class of 110 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 30 students.
  2. Define your variables.
  1. Write a system of equations.
  1. Solve the system of equations.
  1. State your final solution in words.
  1. Tam High shirts sell for $15 each and Tam High sweatshirts sell for $20. One day the school store sells a total of 12items (sweatshirts and t-shirts). The store earns $230 for the purchase for that day. How many t-shirts and how many sweatshirts were sold?
  1. Define your variables.
  1. Write a system of equations.
  1. Solve the system of equations.

d. State your final solution in words.

  1. The cost to receive cable television is a flat fee of $60 per month. You can choose which stations you would like to add based on your interests.There is a cost of $4 per station for up to 10 stations, $3 per station for between 10 and 25stations (including 10 and 25), and $2 per station if you order more than 25 extra stations for your monthly plan.
  1. Write a piece-wise function to describe this situation, include the domain restrictions for each piece.
  1. How much will it cost for your cable bill if you order 12 additional stations to your plan?
  1. A bike shop makes a profit of $100 for each road bike sold and a profit of $150 for each mountain bike sold. The bike shop wants to make a total profit of at least $1000. Show and describe all possible combinations of mountain bikes and road bikes that the store owner needs to sell to meet her goals.
  1. Write and inequality that represents this situation.
  1. Graph the inequality.LABEL AND SCALE YOUR AXES!

  1. List two possible combinations that would be solutions.