{"id":87278,"date":"2023-12-01T08:32:39","date_gmt":"2023-12-01T03:02:39","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=87278"},"modified":"2023-12-02T16:41:58","modified_gmt":"2023-12-02T11:11:58","slug":"eureka-math-grade-6-module-4-lesson-31","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-6-module-4-lesson-31\/","title":{"rendered":"Eureka Math Grade 6 Module 4 Lesson 31 Answer Key"},"content":{"rendered":"

Engage NY Eureka Math Grade 6 Module 4 Lesson 31 Answer Key<\/h2>\n

Eureka Math Grade 6 Module 4 Lesson 31 Example Answer Key<\/h3>\n

Example 1:<\/p>\n

Marcus reads for 30 minutes each night. He wants to determine the total number of minutes he will read over the course of a month. He wrote the equation t = 30d to represent the total amount of time that he has spent reading, where t represents the total number of minutes read and d represents the number of days that he read during the month. Determine which variable is independent and which is dependent. Then, create a table to show how many minutes he has read in the first seven days.
\nIndependent Variable: ________
\nDependent Variable: _________<\/p>\n

\"Eureka
\nAnswer:
\nIndependent Variable: Number of days
\nDependent Variable: Total minutes read<\/p>\n

\"Eureka<\/p>\n

Example 2:<\/p>\n

Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works. Determine the independent and dependent variables. Create a table to show the number of websites she can design over the first 5 weeks. Finally, write an equation to represent the number of websites she can design when given any number of weeks.
\nIndependent Variable: ________
\nDependent Variable: _________
\nEquation: _______<\/p>\n

\"Eureka
\nAnswer:
\nIndependent variable: # of weeks worked Worked (w)
\nDependent variable: # of websites designed<\/p>\n

\"Eureka
\nEquation d = 3w, where w is the number of weeks worked and d is the number of websites designed.<\/p>\n

Example 3:<\/p>\n

Priya streams movies through a company that charges her a $5 monthly fee plus $1. 50 per movie. Determine the independent and dependent variables, write an equation to model the situation, and create a table to show the total cost per month given that she might stream between 4 and 10 movies in a month.
\nIndependent Variable: ________
\nDependent Variable: _________
\nEquation: _______<\/p>\n

\"Eureka
\nAnswer:
\nIndependent variable: # of movies watched per month
\nDependent variable: Total cost per month, in dollars
\nEquation: c = 1.5m + 5 or c = 1.50m + 5<\/p>\n

\"Eureka<\/p>\n

Eureka Math Grade 6 Module 4 Lesson 31 Exercise Answer Key<\/h3>\n

Exercises:<\/p>\n

Exercise 1.
\nSarah is purchasing pencils to share. Each package has 12 pencils. The equation n = 12p, where n is the total number of pencils and p is the number of packages, can be used to determine the total number of pencils Sarah purchased. Determine which variable is dependent and which is independent. Then, make a table showing the number of pencils purchased for 3 – 7 packages.<\/p>\n

\"Sarah<\/p>\n

\"Eureka
\nAnswer:
\nThe number of packages, p, is the independent variable.
\nThe total number of pencils, n, is the dependent variable.<\/p>\n

\"Eureka<\/p>\n

Exercise 2.
\nCharlotte reads 4 books each week. Let b be the number of books she reads each week, and let w be the number of weeks that she reads. Determine which variable is dependent and which is independent. Then, write an equation to model the situation, and make a table that shows the number of books read in under 6 weeks.<\/p>\n

\"Eureka
\nAnswer:
\nThe number of weeks, w, is the independent variable.
\nThe number of books, b, is the dependent variable.
\nb = 4w<\/p>\n

\"Eureka<\/p>\n

Exercise 3.
\nA miniature golf course has a special group rate. You can pay $20 plus $3 per person when you have a group of 5 or more friends. Let f be the number of friends and c be the total cost. Determine which variable is independent and which is dependent, and write an equation that models the situation. Then, make a table to show the cost for 5 to 12 friends.<\/p>\n

\"Eureka
\nAnswer:
\nThe number of friends, f, is the independent variable.
\nThe total cost in dollars, c, is the dependent variable.
\nc = 3f +20<\/p>\n

\"Eureka<\/p>\n

Exercise 4.
\nCarlos is shopping for school supplies. He bought a pencil box for $3, and he also needs to buy notebooks. Each notebook is $2. Let t represent the total cost of the supplies and n be the number of notebooks Carlos buys. Determine which variable is independent and which is dependent, and write an equation that models the situation. Then, make a table to show the cost for 1 to 5 notebooks.<\/p>\n

\"Eureka
\nAnswer:
\nThe total number of notebooks, n, is the independent variable.
\nThe total cost in dollars, t, is the dependent variable.
\nt = 2n + 3<\/p>\n

\"Eureka<\/p>\n

Eureka Math Grade 6 Module 4 Lesson 31 Problem Set Answer Key<\/h3>\n

Question 1.
\nJazlyah sells 3 houses each month. To determine the number of houses she can sell in any given number of months, she uses the equation t = 3m, where t is the total number of houses sold and m is the number of months. Name the independent and dependent variables. Then, create a table to show how many houses she sells in fewer than 6 months.<\/p>\n

\"Eureka
\nAnswer:
\nThe independent variable is the number of months. The dependent variable is the total number of houses sold.<\/p>\n

\"Eureka<\/p>\n

Question 2.
\nJoshua spends 25 minutes of each day reading. Let d be the number of days that he reads, and let m represent the total minutes of reading. Determine which variable is independent and which is dependent. Then, write an equation that models the situation. Make a table showing the number of minutes spent reading over 7 days.<\/p>\n

\"Eureka
\nAnswer:
\nThe number of days, d, is the independent variable.
\nThe total number of minutes of reading, m, is the dependent variable.
\nm = 25d<\/p>\n

\"Eureka<\/p>\n

Question 3.
\nEach package of hot dog buns contains 8 buns. Let p be the number of packages of hot dog buns and b be the total number of buns. Determine which variable is independent and which is dependent. Then, write an equation that models the situation, and make a table showing the number of hot dog buns in 3 to 8 packages.<\/p>\n

\"package<\/p>\n

\"Eureka
\nAnswer:
\nThe number of packages, p, is the independent variable.
\nThe total number of hot dog buns, b, is the dependent variable.
\nb = 8p<\/p>\n

\"Eureka<\/p>\n

Question 4.
\nEmma was given 5 seashells. Each week she collected 3 more. Let w be the number of weeks Emma collects seashells and s be the number of seashells she has total. Which variable is independent, and which is dependent? Write an equation to model the relationship, and make a table to show how many seashells she has from week 4 to week 10.<\/p>\n

\"Emma<\/p>\n

\"Eureka
\nAnswer:
\nThe number of weeks, w, is the independent variable.
\nThe total number of seashells, s, is the dependent variable.
\ns = 3w + 5<\/p>\n

\"Eureka<\/p>\n

Question 5.
\nEmilia is shopping for fresh produce at a farmers market. She bought a watermelon for $5, and she also wants to buy peppers. Each pepper is $0. 75. Let t represent the total cost of the produce and n be the number of peppers bought. Determine which variable Is independent and which is dependent, and write an equation that models the situation. Then, make a table to show the cost for 1 to 5 peppers.<\/p>\n

\"Eureka
\nAnswer:
\nThe number of peppers, n, is the independent variable.
\nThe total cost in dollars, t, is the dependent variable.
\nt = 0.75n + 5<\/p>\n

\"Eureka<\/p>\n

Question 6.
\nA taxicab service charges a flat fee of $7 plus an additional $1.25 per mile driven. Show the relationship between the total cost and the number of miles driven. Which variable is independent, and which is dependent? Write an equation to model the relationship, and make a table to show the cost of 4 to 10 miles.<\/p>\n

\"Eureka
\nAnswer:
\nThe number of miles driven, m, is the independent variable.
\nThe total cost in dollars, c, is the dependent variable.
\nc = 125m + 7<\/p>\n

\"Eureka<\/p>\n

Eureka Math Grade 6 Module 4 Lesson 31 Exit Ticket Answer Key<\/h3>\n

For each problem, determine the independent and dependent variables, write an equation to represent the situation, and then make a table with at least 5 values that models the situation.<\/p>\n

Question 1.
\nKyla spends 60 minutes of each day exercising. Let d be the number of days that Kyla exercises, and let m represent the total minutes of exercise in a given time frame. Show the relationship between the number of days that Kyla exercises and the total minutes that she exercises.
\nIndependent variable: _______
\nDependent variable: ________
\nEquation: _______<\/p>\n

\"Eureka
\nAnswer:
\nTables may vary.
\nIndependent variable: Number of Days
\nDependent variable: Total Number of Minutes
\nEquation: m = 60d<\/p>\n

\"Eureka<\/p>\n

Question 2.
\nA taxicab service charges a flat fee of $8 plus an additional $1.50 per mile. Show the relationship between the total cost and the number of miles driven.
\nIndependent variable: _______
\nDependent variable: ________
\nEquation: _______<\/p>\n

\"Eureka
\nAnswer:
\nTables may vary.
\nIndependent variable: Number of miles
\nDependent variable: Total cost, in dollars
\nEquation: c = 1.50m + 8<\/p>\n

\"Eureka<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math Grade 6 Module 4 Lesson 31 Answer Key Eureka Math Grade 6 Module 4 Lesson 31 Example Answer Key Example 1: Marcus reads for 30 minutes each night. He wants to determine the total number of minutes he will read over the course of a month. He wrote the equation t … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":171505,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/ccssanswers.com\/wp-content\/uploads\/2022\/05\/Eureka-Math-Grade-6-Module-4-Lesson-31-Answer-Key.png","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/87278"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=87278"}],"version-history":[{"count":4,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/87278\/revisions"}],"predecessor-version":[{"id":171511,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/87278\/revisions\/171511"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media\/171505"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=87278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=87278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=87278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}