1. The table shows the values of y for each value of x: X у 1 2 3 4 1 -3 -3 5 Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points) Part B: The function f(h) shown below represents Kylie's total earning from working in a cafe for h hours of work: f(h) = 15h + 5 Calculate and interpret the meaning of f(8)? (4 points) Part C: Write an ordered pair to represent the input and output of the function in Part B when Kylie works for r hours. (2 points) 2. The table below represents a linear function f(x) and the equation represents a function g(x): х 0 f(x) 30 32 34 g(x) g(x) = 8x - 25 1 2 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) Part B: Which function has a greater y-intercept? Justify your answer. (4 points) 3. The table below represents the displacement of a turtle from its nest as a function of time: Time (hour) Displacement from nest (miles) 0 1 2 3 5 27 49 71 93 4 Part A: What is the y-intercept of the function, and what does this tell you about the turtle? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the turtle continued to walk at this rate until it traveled 225 miles from the nest? (2 points) 4. Winnie rented a room at $250 per week. She also had to pay a deposit of $1200. Part A: Write a function to show the total amount of money f(n) that Winnie has to pay for renting the room for n weeks. (4 points) Part B: What is the total rent that Winnie has to pay for using the room for 12 weeks? (4 points) Part C: If the deposit amount decreases by $100, what would be the total rent for 6 weeks? (2 points) 5. Part A: Nadia rented a stage platform at $410 for 4 days. If she rents the same stage platform for 8 days, she has to pay a total rent of $770. Write an equation in the standard form to represent the total rent (y) that Nadia has to pay for renting the stage platform for x days. (4 points) Part B: Write the equation obtained in Part A using function notation.(2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
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