# tables of x and y values, algebra homework

**Question description**

1. The table shows the values of y for each value of x:

x | y |

2 | 1 |

3 | 1 |

4 | -3 |

5 | -3 |

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):
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:
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) |

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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