Which of the following graphs represents the solution set of this system of inequalities?
{y\geqq\frac{1}{2}{x}+3}
{y\geqq-x+5}
Question 2
2.
In a geometric sequence, the second term is 15 and the fourth term is 135. What is the first term in the sequence?
This question has four parts.
The price of a ticket at a theater is {x} dollars. The manager of the theater uses the function {t(x)=100x-4x^2} to predict {t(x)}, the total ticket sales in dollars.
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Question 3
3.
Part A
What are the predicted total sales, in dollars, when the price of a ticket is 10 dollars? Show or explain how you got your answer.
Enter your answer and your work or explanation in the space provided.
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This question has two parts.
A student has an after-school job. This function models the amount of money, in dollars, the student earns for working {h} hours in a week.
{M(h)=12.5h}
The student can work a maximum of 20 hours in a week.
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Question 8
8.
Part B
What is the range of the function?
Fill in the blanks to correctly show the range of the function.
_______ {\leq M(h) \leq}_______
Question 9
9.
Some students are raising money by selling T-shirts.
{\bullet} They ordered 100 T-shirts to sell.
{\bullet} They will sell the T-shirts for $20 each.
This equation models {P}, the amount of money the students will earn, as a function of {n}, the number of T-shirts they sell.
{P(n)=20n-500}
What is the domain of this function, where {n} is a whole number?
Question 10
10.
This diagram shows a circle with an inscribed right triangle and some of its measurements, in units.
Based on the diagram, what is the circumference, in units, of the circle?
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Question 12
12.
Part B
What is the length, to the nearest tenth of an inch, of minor arc {XZ}?
Enter your answer in the box.
_______ inches
Question 13
13.
Each exterior angle of a regular polygon has a measure of {30\degree}. What is the total number of sides of the polygon?
Question 14
14.
Parallel lines {g} and {h} are intersected by line {j}. Lines {g},{h},{j}, and expressions representing angle measurements are shown in this diagram.
Based on the diagram, which of the following equations is not always true?
Question 15
15.
A circle graphed on a coordinate plane has its center at {(2,-4)} and a radius of 4 units. Create an equation of the circle.
Fill into each box to correctly create the equation.
Which of the following equation represents a line that is perpendicular to line {w}?
Question 17
17.
Consider this expression.
{(\sqrt{n^3})^4}
Which of the following is equivalent to the expression for all positive values of {n}?
Question 18
18.
Consider this expression.
Create an equivalent exponential expression in the form.
Question 4
4.
Part B
What is the increase or decrease in the predicted total sales, in dollars, when the price of a ticket is increased from 10 dollars to 12 dollars? Show or explain how you got your answer.
Enter your answer and your work or explanation in the space provided.
Question 5
5.
Part C
What is the ticket price, in dollars, that results in the maximum value for the predicted total sales? Show or explain how you got your answer.
Enter your answer and your work or explanation in the space provided.
Question 6
6.
Part D
What is the maximum value, in dollars, for the predicted total sales? Show or explain how you got your answer.
Enter your answer and your work or explanation in the space provided.
Question 7
7.
Part A
Which of the following is the domain of the function?
Question 11
11.
Part A
Which of the following is closest to the area, in square inches, of the shaded sector of circle Y?
