Engage NY Eureka Math 6th Grade Module 1 Lesson 15 Answer Key
Eureka Math Grade 6 Module 1 Lesson 15 Exercise Answer Key
Exercise 1.
Create a table to determine how many views the website probably had one hour after the end of the broadcast based on how many views it had two and three hours after the end of the broadcast. Using this relationship, predict how many views the website will have 4, 5, and 6 hours after the end of the broadcast.
Answer:
Exercise 2.
What is the constant number, c, that makes these ratios equivalent?
Answer:
12
Using an equation, represent the relationship between the number of views, y, the website received and the number of hours, h, after this morning’s news broadcast.
Answer:
v = 12h
Exercise 3.
Use the table created In Exercise 1 to Identify sets of ordered pairs that can be graphed.
Answer:
(1, 12), (2,24), (3, 36), (4, 48), (5, 60), (6, 72)
Exercise 4.
Use the ordered pairs you created to depict the relationship between hours and number of views on a coordinate plane.
Label your axes and create a title for the graph. Do the points you plotted lie on a line?
Answer:
Exercise 5
Predict how many views the website will have after twelve hours. Use at least two representations (e.g., tape diagram, table, double number line diagram) to justify your answer.
Answer:
Exercise 6
Also on the news broadcast, a chef from a local Italian restaurant demonstrated how he makes fresh pasta daily for his restaurant. The recipe for his pasta is below:
3 eggs, beaten
1 teaspoon salt
2 cups all-purpose flour
2 tablespoons water
2 tablespoons vegetable oil
Determine the ratio of the number of tablespoons of water to the number of eggs.
Answer:
2: 3
Provided the information in the table below, complete the table to determine ordered pairs. Use the ordered pairs to graph the relationship of the number of tablespoons of water to the number of eggs.
| Tablespoons of water | Number of Eggs |
| 2 | |
| 4 | |
| 6 | |
| 8 | |
| 10 | |
| 12 |
Answer:
| Tablespoons of water | Number of Eggs |
| 2 | 3 |
| 4 | 6 |
| 6 | 9 |
| 8 | 12 |
| 10 | 15 |
| 12 | 18 |
Answer:
What would you have to do to the graph in order to find how many eggs would be needed If the recipe was larger and called for 16 tablespoons of water?
Answer:
Extend the graph.
Demonstrate on your graph.
How many eggs would be needed if the recipe called for 16 tablespoons of water?
Answer:
24
Exercise 7.
Determine how many tablespoons of water will be needed If the chef is making a large batch of pasta and the recipe increases to 36 eggs. Support your reasoning using at least one diagram you find applies best to the situation, and explain why that tool is the best to use.
Answer:
Answers may vary but should include reasoning for each tool. For example, extending the table/double number line diagram because values were already given to find the pattern or using a tape diagram to determine the equivalent ratios.
Eureka Math Grade 6 Module 1 Lesson 15 Problem Set Answer Key
Question 1.
The producer of the news station posted an article about the high school’s football championship ceremony on a new website. The website had 500 views after four hours. Create a table to show how many views the website would have had after the first, second, and third hours after posting, if the website receives views at the same rate. How many views would the website receive after 5 hours?
Answer:
| Hours | Views |
| 1 | 125 |
| 2 | 250 |
| 3 | 375 |
| 4 | 500 |
| 5 | 625 |
Question 2.
Write an equation that represents the relationship from Problem 1. Do you see any connections between the equations you wrote and the ratio of the number of views to the number of hours?
Answer:
125h = v
Question 3.
Use the table in Problem 1 to make a list of ordered pairs that you could plot on a coordinate plane.
Answer:
(1, 125), (2, 250), (3, 375), (4, 500), (5, 625)
Question 4.
Graph the ordered pairs on a coordinate plane. Label your axes and create a title for the graph.
Answer:
Question 5.
Use multiple tools to predict how many views the website would have after 12 hours.
Answer:
Answers may vary but could include all representations from the module. The correct answer is 1,500 views.
Eureka Math Grade 6 Module 1 Lesson 15 Exit Ticket Answer Key
Question 1.
Jen and Nikki are making bracelets to sell at the local market. They determined that each bracelet would have eight beads and two charms.
Complete the table below to show the ratio of the number of charms to the number of beads.
Answer:
Create ordered pairs from the table, and plot the pairs on the graph below. Label the axes of the graph, and provide a title.
Answer:
Eureka Math Grade 6 Module 1 Lesson 15 Exploratory Challenge Answer Key
Question 1.
At the end of this morning’s news segment, the local television station highlighted area pets that need to be adopted. The station posted a specific website on the screen for viewers to find more information on the pets shown and the adoption process. The station producer checked the website two hours after the end of the broadcast and saw that the website had 24 views. One hour after that, the website had 36 views.
Answer:
At the end of this morning’s news segment, the local television station highlighted area pets that need to be adopted. The station posted a specific website on the screen for viewers to find more information on the pets shown and the adoption process. The station producer checked the website two hours after the end of the broadcast and saw that the website had 24 views. One hour after that, the website had 36 views.