## Engage NY Eureka Math 6th Grade Module 1 Lesson 14 Answer Key

### Eureka Math Grade 6 Module 1 Lesson 14 Example Answer Key

Example 1.
Dinner service starts once the train is 250 miles away from Yonkers. What is the minimum time the players will have to wait before they can have their meal?   The minimum time is 5 hours.

### Eureka Math Grade 6 Module 1 Lesson 14 Exercise Answer Key

Exercise 1.
Create a table to show the time it will take Kelli and her team to travel from Yonkers to each town listed in the
schedule assuming that the ratio of the amount of time traveled to the distance traveled is the same for each city.
Then, extend the table to include the cumulative time it will take to reach each destination on the ride home.  Exercise 2.
Create a double number line diagram to show the time It will take Kelli and her team to travel from Yonkers to each town listed in the schedule. Then, extend the double number line diagram to include the cumulative time it will take to reach each destination on the ride home. Represent the ratio of the distance traveled on the round trip to the amount of time taken with an equation.  Using the information from the double number line diagram, how many miles would be traveled in one hour?
50

How do you know?
If the train is moving at a constant speed, half of 2 hours is 1 hour, and half of 100 miles is 50 miles.

### Eureka Math Grade 6 Module 1 Lesson 14 Problem Set Answer Key

Question 1.
Complete the table of values to find the following:
Find the number of cups of sugar needed if for each pie Karrie makes, she has to use 3 cups of sugar.  Use a graph to represent the relationship  Create a double number line diagram to show the relationship.  Question 2.
Write a story context that would be represented by the ratio 1: 4.
Answers will vary. Example: Kendra’s mom pays her four dollars for every load of laundry she washes and dries.

Complete a table of values for this equation and graph.    Dominic works on the weekends and on vacations from school mowing lawns in his neighborhood. For every lawn he mows, he charges $12. Complete the table. Then determine ordered pairs, and create a labeled graph. Answer: Question 1. How many lawns wIll Dominic need to mow In order to make$240?