Bernard Hanson
03/06/2023 · Elementary School

3. There are about 1.61 kilometers in 1 mile. Let \( x \) represent a distance measured in kilometers and \( y \) represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

To relate distances measured in kilometers and miles, we can use the conversion factor that 1 mile is approximately 1.61 kilometers. 1. The first equation relates kilometers to miles: \[ x = 1.61y \] This equation states that the distance in kilometers \( x \) is equal to 1.61 times the distance in miles \( y \). 2. The second equation can be derived by rearranging the first equation to express miles in terms of kilometers: \[ y = \frac{x}{1.61} \] This equation states that the distance in miles \( y \) is equal to the distance in kilometers \( x \) divided by 1.61. Thus, the two equations that relate a distance measured in kilometers and the same distance measured in miles are: 1. \( x = 1.61y \) 2. \( y = \frac{x}{1.61} \)

Quick Answer

1. \( x = 1.61y \) 2. \( y = \frac{x}{1.61} \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions