Question 1(Multiple Choice Worth 1 points)
(02.02 MC)
The total cost f(x), in dollars, for renting a houseboat for x days is shown:
f(x) = 15 + 150x
What does f(15) represent?
a. The number of dollars it costs for 15 people to rent the houseboat
b. The number of houseboats that can be rented for 15 days
c. The number of dollars it costs to rent the houseboat for 15 days.
d. The number of days the houseboat can be rented for a cost of $150
Question 2(Multiple Choice Worth 1 points)
(04.02 LC)
Anabelle collected data on the favorite superhero of the students in her class. The table shows the relative frequencies of rows for the data collected:
Favorite Superhero
Superman Spiderman Batman Wonder Woman Row totals
Boys 0.21 0.25 0.06 0.11 0.63
Girls 0.25 0.02 0.03 0.07 0.37
Column totals 0.46 0.27 0.09 0.18 1
Based on the data, which superhero is most likely to be the favorite?
a. Superman
b. Spiderman
c. Batman
d. Wonder Woman
Question 3(Multiple Choice Worth 1 points)
(02.03 MC)
Graph the line 2x − 3y = 12.
a. The graph shows a line through the points 0 comma 4 and 6 comma 0.
b. The graph shows a line through the points 0 comma negative 4 and 6 comma 0.
c. The graph shows a line through the points 0 comma 4 and negative 6 comma 0.
d. The graph shows a line through the points 0 comma negative 4 and negative 6 comma 0.
Question 4(Multiple Choice Worth 1 points)
(03.02 MC)
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years:
Year 1 2
Value (in dollars) $104,271.02 $107,399.15
Which function best represents the value of the real estate after t years?
a. f(t) = 101,234(1.03)t
b. f(t) = 101,234(0.03)t
c. f(t) = 104,271.02(1.03)t
d. f(t) = 104,271.02(0.03)t
Question 5(Multiple Choice Worth 1 points)
(03.04 MC)
The functions f(x) and g(x) are described using the following equation and table:
f(x) = −6(1.05)x
x g(x)
−4 −9
−2 −6
0 −3
2 2
Which equation best compares the y-intercepts of f(x) and g(x)?
a. The y-intercept of f(x) is equal to the y-intercept of g(x).
b. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
c. The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
d. The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).
Question 6(Multiple Choice Worth 1 points)
(02.01 LC)
A linear function is shown on the graph.
A linear function beginning with open circle at negative 3 comma negative 5 and ending with an open circle at 3 comma 7.
What is the domain of the function?
a. {y | −5 ≤ y ≤ 7}
b. {y | −5 < y < 7}
c. {x | −3 ≤ x ≤ 3}
d. {x | −3 < x < 3}
Question 7(Multiple Choice Worth 1 points)
(01.05 MC)
A college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.
a. 0 < x ≤ 100 and 0 < y ≤ 300
b. x > 0 and y > 0
c. 0 < x ≤ 100 and y > 300
d. 0 < x and y < 100
Question 8(Multiple Choice Worth 1 points)
(03.08 MC)
Timothy has a greenhouse and is growing sunflowers. The table shows the average number of sunflowers that bloomed over a period of four months:
Month 1 2 3 4
Sunflowers 15 17.2 19.4 21.6
Did the number of sunflowers increase linearly or exponentially?
a. Linearly, because the table shows a constant percentage increase in orchids each month
b. Exponentially, because the table shows that the sunflowers increased by the same amount each month
c. Exponentially, because the table shows a constant percentage increase in sunflowers each month
d. Linearly, because the table shows that the sunflowers increased by the same amount each month
Question 9(Multiple Choice Worth 1 points)
(04.05 MC)
Determine the equation for the line of best fit to represent the data.
scatter plot with points going up from about zero comma negative 3 to the right to about 7 comma zero
a. y equals three sevenths times x minus 3
b. y equals negative three sevenths times x minus 3
c. y equals seven thirds times x minus 3
d. y equals three sevenths times x plus 3
Question 10(Multiple Choice Worth 1 points)
(04.01 LC)
A data set lists the lengths of many different sizes of wood available for purchase. Which of the following charts could be used to display the data, and why?
a. Line plot; because the data is categorical
b. Line plot; because the data is numerical
c. Bar chart; because the data is categorical
d. Bar chart; because the data is numerical
Question 11(Multiple Choice Worth 1 points)
(02.05 MC)
What are the vertex and range of y = |x + 3| + 7?
a. (3, 7); −∞ < y < ∞
b. (3, 7); 7 ≤ y < ∞
c. (−3, 7); −∞ < y < ∞
d. (−3, 7); 7 ≤ y < ∞
Question 12(Multiple Choice Worth 1 points)
(01.03 MC)
Jorie normally leaves work at 5:00 p.m., but she is leaving work 30 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel four times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 p.m. she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time.
a. y equals one fourth times x minus thirty
b. y = 4x − 30
c. y equals one fourth times x plus thirty
d. y = 4x + 30
Question 13(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify the cubed root of six over the fourth root of six.
a. six raised to the one twelfth power
b. six raised to the one fourth power
c. six raised to the four thirds power
d. six raised to the seven twelfths power
Question 14(Multiple Choice Worth 1 points)
(01.06 MC)
The equation for the area of a trapezoid is A equals one-half times h times the quantity of b subscript 1 plus b subscript 2 end quantity..
If A = 28, b1 = 6, and b2 = 8, what is the height of the trapezoid?
a. h = 2
b. h = 4
c. h = 6
d. h = 7
Question 15(Multiple Choice Worth 1 points)
(01.04 MC)
A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank and $50 a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:
50x + 100 ≤ 600
a. x ≤ 10
b. x ≥ 10
c. x ≥ 12
d. x ≤ 12
answer each question seperately and make you each question you answer is absolutely correct
Question 1: c. The number of dollars it costs to rent the houseboat for 15 days.
Question 2: a. Superman
Question 3: b. The graph shows a line through the points 0 comma -4 and 6 comma 0.
Question 4: c. f(t) = 104,271.02(1.03)t
Question 5: b. The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
Question 6: c. {x | -3 ≤ x ≤ 3}
Question 7: a. 0 < x ≤ 100 and 0 < y ≤ 300
Question 8: a. Linearly, because the table shows a constant percentage increase in sunflowers each month
Question 9: a. y equals three sevenths times x minus 3
Question 10: c. Bar chart; because the data is categorical
Question 11: d. (-3, 7); 7 ≤ y < ∞
Question 12: b. y = 4x - 30
Question 13: a. six raised to the one twelfth power
Question 14: a. h = 2
Question 15: a. x ≤ 10
I understand that you would like each question to be answered separately and correctly. Here are the answers to each question:
Question 1 - c. The number of dollars it costs to rent the houseboat for 15 days.
Question 2 - a. Superman
Question 3 - a. The graph shows a line through the points 0,4 and 6,0.
Question 4 - a. f(t) = 101,234(1.03)^t
Question 5 - c. The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).
Question 6 - c. {x | -3 ≤ x ≤ 3}
Question 7 - a. 0 < x ≤ 100 and 0 < y ≤ 300
Question 8 - b. Exponentially, because the table shows that the sunflowers increased by the same amount each month.
Question 9 - a. y = (3/7)x - 3
Question 10 - d. Bar chart; because the data is numerical
Question 11 - d. (-3, 7); 7 ≤ y < ∞
Question 12 - a. y = (1/4)x - 30
Question 13 - a. six raised to the one twelfth power
Question 14 - b. h = 4
Question 15 - c. x ≥ 12