<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:
|
x
|
y
|
|
0
|
1
|
|
1
|
2
|
|
2
|
3
|
|
3
|
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 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:
|
Time
(hour) x |
Velocity
(miles/hour) y |
|
0
|
50
|
|
1
|
52
|
|
2
|
54
|
|
3
|
56
|
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):
|
g(x)
g(x) = 3x – 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)
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