**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,...

See similar textbooks

Related questions

Q: Prices: There are two admission pricing packages to enter into the park and ride the rides. The…

A: There are two admission pricing packages to enter into the park and ride the rides. The following…

Q: Each of two bike rental shops charges a set fee plus an hourly rate for each rental. The cost of…

A: Let, CA be the cost function of renting a bike from shop A. CB be the cost function of renting a…

Q: Caitlyn sells cell phone sweaters and keychains at the county fair. She wants to sell at least 12…

A: Let the number of cell phone sweaters be: x Let number of keychains be: y

Q: There are two different raffles you can enter. Raffle A, which is at a carnival, has 50 tickets.…

A: Carnival - It is an annual festival in Roman Catholic Countries containing parade, music, dancing…

Q: Which quadratic equation is equivalent to æ? + 8x + 2 = 0? %3D O (x + 4)2 = -18 O (x + 4)2 = -14 O…

A: The quadratic equation is x2 + 8x + 2 = 0 => x2 + 2*x*4 + 42 - 42 + 2 = 0 => (x2 + 2*x*4 +…

Q: A racetrack charges $90 for each seat in the lower section, $60 for each seat in upper sections, and…

A: Given:The charge for each seat in the lower section = $90,The charge for each seat in the upper…

Q: An Indiana corn grower has 1,000 bushels of corn that are to be divided between markets in…

Q: When you spent 15.3 minutes on the elliptical trainer and then did circuit training for 25.8…

Q: Three friends: Andrés, Juan and Carlos are preparing to climb some stairs and they do it in the…

A: The objective of the question is to find the minimum number of steps in the staircase such that all…

Q: - 1 Mina's Catering Service is organizing a formal dinner for 280 people. The hall has two kinds of…

A: I am going to solve the problem by using some simple trigonometry to get the required result of the…

Q: Mardi Gras sells 3 types of T-shirts: Alabama, Buffalo, and Colorado. Manufacturing Alabama requires…

A: Given: Possible make in 15 minutes

Q: The member of staff lives in Bermondsey in London. She must speak at a conference in Birmingham at…

A: According to question, member of the staff who lives in Bermondsey must speak at a conference in…

Q: A band director wants to order music stands and music books. • The band director has a budget of…

A: Given that: A band director wants to order music stands and music books. The band director has…

Q: In Pennsylvania, state sales tax is used to pay for services provided by the state. The sales tax…

Q: The 8th graders are selling chips and candy to collect money for their end-of-the year dance. They…

Q: elementary school is taking a busload of children to a science fair. It costs $150.00 to drive the…

A: Number of students is variable. Use this to get the required equation. General equation of line…

Q: For each type of pizza, determine the profit (or loss) associated with producing at each possible…

A: Given, The fixed cost = 1000 Probability of demands: Plain Cheese Demand Probability 200 0.1…

Q: Tom has a collection of 27 CDs and Nita has a collection of 18 CDs. Tom is adding 3 CDs a month to…

A: We have given,Number of CDs collected by Tom = 27 CDsNumber of CDs collected by Nita = 18 CDs

Q: You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and videp games rent…

Q: Louisa has two jobs. She works as a barista, which pays $13 per hour, and she works as an…

A: Louisa has two jobs. She works as a barista, which pays $13 per hour, and she worksas an…

Q: andra wants to buy a specific pair of shoes. At store A, the price of the pair of shoes is $80.00…

A: Candra wants to buy a specific pair of shoes At store A, the price of the pair of shoes is $80.00…

Q: Angela has $15 to spend at the store. She will buy pp pencils and nn notebooks. Pencils cost…

Question

**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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Determining the price of a senior citizen ticket and price of a child ticket

Step 3: Graph

Step 4: Continuation

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Selve the Systems of ea vations yニax-4 4=8x+4
Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost of the large popcorn and the small drink? A. The large popcorn cost $3 and the small drink cost $2. B. The large popcorn cost $2 and the small drink cost $4. C. The large popcorn cost $4 and the small drink cost $3. D. The large popcorn cost $5 and the small drink cost $3.
A group of 60 friends meet for lunch. They greet each other by exchanging system. How many systems are exchange if it's grandma bump with each of the 59 other?
Use graphpad and the T calculator: While managing a band, you want to see if your band will sell more merchandise at its shows if the band lead singer take his shirt off during their performances. For the next 18 shows, the band alternates: on the first, third, fifth, etc. shows band integrates a video screen. On the second, fourth, sixth, etc. shows the singer doesnt wear it. Merch sales per concertgoer, shirt off: 6.45, 2.75, 10.02, 8.33, 7.19, 5.42, 5.03, 7.30, 4.83 Merch sales per concertgoer, shirt on: 4.84, 3.61, 7.93, 4.20, 9.17, 3.13, 7.91, 4.68, 3.37 a. on average how much more merch do concert goers purchase win the lead singer shirt is off round to the nearest cent? b. use a two sample T interval to come up with 90% confidence interval regarding the increase in merch sales with the lead singer’s shirt is off round appropriately to the penny c.The band is about to tour Canada, and the lead singer, pondering the cold climate, says that he’ll only take his shirt off if…
For a concert event, there are $30 reserved seat tickets and $20 general admission tickets. There are 2100 reserved seats available, and fire regulations limit the number of paid ticket holders to 3400. The promoter must take in at least $78,000 in ticket sales. Write a system of inequalities that describes the different numbers of tickets that can be sold. (Let x be the number of $30 tickets and y be the number of $20 tickets.
b. Number of boys and girls in each block: Let's say you want to graph the number of boys and girls in each grade level in a school. You have five grade levels: kindergarten, first grade, second grade, third grade, and fourth grade. In kindergarten, there are 15 boys and 10 girls. In first grade, there are 20 boys and 18 girls. In second grade, there are 12 boys and 14 girls. In third grade, there are 16 boys and 20 girls. In fourth grade, there are 18 boys and 16 girls.Make an appropriate graph for this situation in EXCELShow the steps on how you made it
Travel agents for a company are paid 17% commission on their holiday sales. The company offers trips to New Zealand and customers can choose from standard, deluxe or luxury packages. During one week, George sells 3 standard, 1 deluxe and 1 luxury holiday. Shirl sells 1 standard, 4 deluxe and 1 luxury holiday. Robert sells 2 standard and 2 luxury holidays. For that week George’s commission was $10,223.46, Shirl’s was $14,005.96 and Robert’s was $9,311.92. Solve using Cramer’s Rule to find the price of each holiday.
Suppose Meredith, Kelsey and Nina go to a donut shop. Meredith buys 3 apple crumb, 8 Boston creme and 2 cookies & cream donuts and ends up spending $29.82. Kelsey gets 3 of the apple crumb, 5 Boston creme and 7 cookies & cream donuts for a total cost of $35.95. Lastly, Nina spends $34.94 on 7 apple crunb, 3 Boston creme, and 6 cookies & cream donuts. How much does each type of donut cost? Each apple crumb donut costs $ Each Boston creme donut costs $ Each cookies & cream donut costs $
Raina, Chau, and Bob served a total of 110 orders Monday at the school cafeteria. Chau served 5 fewer orders than Raina. Bob served 3 times as many orders as Chau. How many orders did they each serve? Number of orders Raina served: Number of orders Chau served: Number of orders Bob served: X
write a system of equations , then graph them