Open in App
Log In Start studying!

Select your language

Suggested languages for you:

McKenzie spilled 22 pints of water in 4 days. Avery collected 14 pints of water in 3 days. How many pints did each of them lose or gain per day? Show the values on the number line. cant copy graph

Short Answer

Expert verified
McKenzie spilled an average of 5.5 pints of water per day, while Avery collected an average of approximately 4.67 pints of water per day. When represented on a number line, McKenzie's rate is plotted between 5 and 6, while Avery's rate is plotted closer to 5 but farther from 4. McKenzie was losing more water per day than Avery was collecting.
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Over 22 million students worldwide already upgrade their learning with Vaia!

Step 1: Compute McKenzie's Rate

Firstly, we calculate how many pints of water McKenzie was losing each day. To do this, divide the total pints of water McKenzie spilled over four days, which is 22 pints, by the number of days, which is 4. This gives us \(\frac{22}{4} = 5.5\). So, McKenzie spilled an average of 5.5 pints of water each day.

Step 2: Compute Avery's Rate

Next, calculate how many pints of water Avery was collecting daily. To do this, divide the total pints of water Avery collected in three days, which is 14 pints, by 3. This gives us \(\frac{14}{3} = 4.6\bar{6}\). So, Avery collected an average of approximately 4.67 pints of water each day.

Step 3: Representing the Rates on a Number Line

The final step is to represent these daily rates on a number line. Because you're unable to copy a graph, imagine a line where each unit step represents one pint of water. Start from zero and mark the points corresponding to the number of pints McKenzie lost (5.5) and Avery gained (4.67) per day. McKenzie’s value should be plotted between 5 and 6 and Avery's value should be plotted a little farther from 4, closer to 5. Keep in mind that this is a representation, though a precise plot would require a more detailed scale or a tool capable of exact plotting. The aim here is to visually compare the quantities. From such a representation, it can be observed that McKenzie was losing more water per day than Avery was collecting.

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 7

Jeff is tracking a helicopter in his area that includes Greenville \((5,3)\), Burlington \((1,1)\), Waysville (5, 1), Pilotsboro \((3,6)\), Denverson \((0,4)\), and Henderson \((3,2)\). The helicopter is currently at \((-3,-4)\) and is moving quickly toward Greenville. Which town will it fly past the soonest? Plot the points and explain your answer. cant copy graph

Chapter 7

Carla ran \(3 \frac{1}{2}\) miles for every \(2 \frac{3}{4}\) miles that Skip ran. Complete the ratio table below. $$ \begin{array}{|l|l|l|l|l|} \hline \text { Carla's Distance } & 3 \frac{1}{2} \text { miles } & 7 \text { miles } & & \\ \hline \text { Skip's Distance } & 2 \frac{3}{4} \text { miles } & & 8 \frac{1}{4} \text { miles } & \\ \hline \end{array} $$

Chapter 7

Amani is taking guitar lessons. She learns 2 songs with the hopes of learning at least 5 songs for the week. Write and solve an inequality that can be used to determine how many more songs she has to learn.

Chapter 7

Michael is shopping at the hardware store. He has \(\$ 19\). Does he have enough to buy 3 treated \(2 \times 4\) lumber planks, \(2.5\) pounds of nails, and I can of wood stain? $$ \begin{array}{|l|l|} \hline \text { Ifem } & \text { Price } \\ \hline \text { Treated } 2 \times 4 \text { lumber planks } & \$ 2.87 \\ \hline \mathrm{I} \mathrm{lb} \text {. of nails } & \$ 4.78 \\ \hline \text { Can of wood stain } & \$ 7.77 \\ \hline \end{array} $$

Chapter 7

Explain how to find the opposite of the number that is 2 units less than \(-17\) on the number line. Justify your answer on the number line. cant copy graph

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks