**Problem Statement:**5. Stephanie’s school is selling tickets to the annual dance competition. On the first day of ticket sales, the school sold 2 senior citizen tickets and 11 child tickets for a total of $165.20. The school took in $232 the second day by selling 8 senior citizen tickets and 12 child tickets. **Task:** Find the price of a senior citizen ticket and the price of a child ticket.a) Define variables for time and for distance from the trailhead.b) Write a system of two equations to model this situation.c) Solve the system by graphing on Desmos. What is the point of intersection? _______________d) Write an answer to the question using a sentence.**Question:**6. Is it possible to draw two lines that intersect in 2 points? Draw an example.---**Note to Educators:**- For part (b), you should guide students to assign variables such as $ x $ for the price of a senior citizen ticket and $ y $ for the price of a child ticket. Then, develop equations based on the provided sales data.- For part (c), encourage students to use graphing calculators or software like Desmos to plot the equations and find the intersection point.- A brief discussion can follow on part (d) to interpret the solution in the context of the problem.- For question 6, initiate a conversation about the properties of lines and when it is or isn't possible for them to intersect at more than one point.

5. Stephanie's school is selling tickets to the annual dance competition. On the first de of ticket sales the school sold 2 senior citizen tickets and 11 child tickets for a total of $165.20. The school took in $232 the second day selling 8 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. a) Define variables for time and for distance from the trailhead. b) Write a system of two equations to model this situation. c) Solve the system by graphing on Desmos. What is the point of intersection? d) Write an answer to the question using a sentence. 6. Is it possible to draw two lines that intersect in 2 points? Draw an example.

5. Stephanie's school is selling tickets to the annual dance competition. On the first de of ticket sales the school sold 2 senior citizen tickets and 11 child tickets for a total of $165.20. The school took in $232 the second day selling 8 senior citizen tickets and 12 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. a) Define variables for time and for distance from the trailhead. b) Write a system of two equations to model this situation. c) Solve the system by graphing on Desmos. What is the point of intersection? d) Write an answer to the question using a sentence. 6. Is it possible to draw two lines that intersect in 2 points? Draw an example.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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