equations

<object:standard:macc.912.a-ced.1.2>Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480. 

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat 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)

Question 2 (Essay Worth 10 points)

(03.02)<object:standard:macc.912.f-if.1.1, macc.912.f-if.1.2="">

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

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 a plumber's total charges, inclusive of call out charges, for h hours of work:

f(h) = 70h + 50

Calculate and interpret the meaning of f(2). (4 points)

Part C: Write an ordered pair to represent the input and output of the function in Part B when the plumber works for d hours. (2 points)

Question 3 (Essay Worth 10 points)

(03.05)<object:standard:macc.912.f-bf.1.1, macc.912.f-bf.1.1a,="" macc.912.f-bf.1.1b="">

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)

Question 4 (Essay Worth 10 points)

(03.05)<object:standard:macc.912.f-if.2.4, macc.912.f-if.2.5,="" macc.912.f-if.2.6="">

The table below represents the velocity of a car as a function of time:

Part A: What is the y-intercept of the function, and what does this tell you about the car? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)

Part C: What would be the domain of the function if the velocity of the car was measured until it reached 60 miles/hour and the car does not change motion? (2 points)

Question 5 (Essay Worth 10 points)

(03.03)<object:standard:macc.912.f-if.3.9>

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)