Part A: Interpreting Graphs (11 marks)

1. Using research, find an example of two variables that modelEACH relationship:

Example: temperature and ice cream sales have a positive linear relationship. As temperature increases, ice cream sales also increase.

1. Positive linear
2. Negative linear
3. Exponential growth
4. Exponential decay
5. Find a scatter graph online that models a linear relationship between two variables. The graph must have alinear relationship (positive or negative). Include a picture/screenshot of the scatter graph.
   1. What is the independent variable? What is the dependent variable?
   2. Draw a line of best fit on the graph.
   3. What are the units for the rate of change?
   4. Determine an equation for the line of best fit(show your work)
   5. Use the equation from part 6 to make a prediction about one of the variables

Example for the equationy=4x-10, whenx=5, y=4(5)-10=10

Part B) Geometry (10 marks)

Recently a giant aquarium in a German hotel broke, spilling all the water and fish onto the hotel floor.

1. The tank held 250 000 gallons of water. How many liters of water did it hold?(show your work)
2. Design a new fish tank for the hotel using a three dimensional shape; you can choose any shape that you want, or you could use a combination of 3D shapes. Provide the dimensions of the new fish tank?(dimensions must be in meters)

Extra marks will be awarded for the complexity and creativity of your design.

1. 1m3=1000 L. How much water will the tank hold?(show your work)
2. Small fish require 20 liters of water to have enough space to live comfortably in a fish tank. What is the maximum number of fish that the tank could hold?(show your work)
3. All sides of the tank will be made of a special type of glass called tempered glass. The entire tank will be enclosed by glass (even the top). How much tempered glass is needed?(show your work)
4. Tempered glass costs $9.29 per square meter. How much will it cost to build the tank?

Part C) Trigonometry (12 marks)

1. Create a trigonometry word problem that can be solved usingtrigonometric ratios (ie a right triangle). Your problem should include the following:
   1. Written question
   2. Labelled diagram(Please use a ruler)
   3. A full solution that includes:
      1. "Let" statements
      2. Workings
      3. Conclusion
2. Create a trigonometry word problem that can be solved usingSine Law OR Cosine Law (ie a NON-right triangle). Your problem should include the following:
   1. Written question
   2. Labelled diagram(Please use a ruler)
   3. A full solution that includes:
      1. "Let" statements
      2. Workings
      3. Conclusion

Extra marks will be awarded for the complexity and creativity of your problems.

**Answer and include all steps**