Watch Sports Don’t Watch Sports Total Like Pop Don’t Like Pop Total 30 Graph the inequality on the set of axes below.
Algebra I CCSS Regents Exam 0617 Page 8 31 If and , determine the value(s) of x that satisfy the equation . 32 Describe the effect that each transformation below has on the function , where . 33 The function is defined by the expression . Use factoring to determine the zeros of . Explain what the zeros represent on the graph of . 34 The graph below models Craig's trip to visit his friend in another state. In the course of his travels, he encountered both highway and city driving.
Algebra I CCSS Regents Exam 0617 Page 9 Based on the graph, during which interval did Craig most likely drive in the city? Explain your reasoning. Explain what might have happened in the interval between B and C . Determine Craig's average speed, to the nearest tenth of a mile per hour , for his entire trip. 35 Given: Solve the equation algebraically for x , to the nearest tenth . Explain why you chose the method you used to solve this quadratic equation. 36 Michael has $10 in his savings account. Option 1 will add $100 to his account each week. Option 2 will double the amount in his account at the end of each week. Write a function in terms of x to model each option of saving. Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option(s) will enable him to reach his goal. Justify your answer. 37 Central High School had five members on their swim team in 2010. Over the next several years, the team increased by an average of 10 members per year. The same school had 35 members in their chorus in 2010. The chorus saw an increase of 5 members per year. Write a system of equations to model this situation, where x represents the number of years since 2010. Graph this system of equations on the set of axes below.
Algebra I CCSS Regents Exam 0617 Page 10 Explain in detail what each coordinate of the point of intersection of these equations means in the context of this problem.
Algebra I CCSS Regents Exam 0617 1 ANS: 3 PTS: 2 REF: 061701ai NAT: F.IF.B.4 TOP: Relating Graphs to Events 2 ANS: 2 PTS: 2 REF: 061702ai NAT: A.SSE.A.1 TOP: Dependent and Independent Variables 3 ANS: 4 PTS: 2 REF: 061703ai NAT: F.IF.C.7 TOP: Graphing Root Functions KEY: bimodalgraph 4 ANS: 2 PTS: 2 REF: 061704ai NAT: S.ID.C.7 TOP: Modeling Linear Functions 5 ANS: 1 PTS: 2 REF: 061705ai NAT: F.IF.A.2 TOP: Functional Notation 6 ANS: 3 PTS: 2 REF: 061706ai NAT: A.SSE.A.2 TOP: Factoring the Difference of Perfect Squares KEY: higher power AI 7 ANS: 1 PTS: 2 REF: 061707ai NAT: F.LE.A.2 TOP: Families of Functions 8 ANS: 1 PTS: 2 REF: 061708ai NAT: A.REI.C.6 TOP: Solving Linear Systems KEY: substitution 9 ANS: 3 PTS: 2 REF: 061709ai NAT: F.IF.A.1 TOP: Defining Functions KEY: ordered pairs 10 ANS: 3 PTS: 2 REF: 061710ai NAT: A.APR.B.3 TOP: Zeros of Polynomials 11 ANS: 1 PTS: 2 REF: 061711ai NAT: A.CED.A.3 TOP: Modeling Systems of Linear Inequalities 12 ANS: 2 PTS: 2 REF: 061712ai NAT: F.BF.A.1 TOP: Modeling Exponential Functions KEY: AI 13 ANS: 4 PTS: 2 REF: 061713ai NAT: A.REI.B.3 TOP: Interpreting Solutions 14 ANS: 1 PTS: 2 REF: 061714ai NAT: S.ID.C.8 TOP: Correlation Coefficient 15 ANS: 4 (1) The box plot indicates the data is not evenly spread. (2) The median is 62.5.