We appreciate your visit to Henry s water bottle is leaking at a constant rate The amount of water tex W tex in ounces that is left in the water. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To analyze the equation [tex]\( W = -\frac{1}{2} m + 16 \)[/tex] and understand the meaning of the coefficient [tex]\(-\frac{1}{2}\)[/tex], let's break it down step by step.
1. Equation Components:
- [tex]\( W \)[/tex] represents the amount of water in the bottle in ounces.
- [tex]\( m \)[/tex] represents the time in minutes.
- [tex]\( 16 \)[/tex] is a constant, representing the initial amount of water in the bottle when [tex]\( m = 0 \)[/tex].
2. Understanding the Coefficient:
- The term [tex]\(-\frac{1}{2}m\)[/tex] indicates how the amount of water [tex]\( W \)[/tex] changes as time [tex]\( m \)[/tex] increases.
- The negative sign indicates that the water level is decreasing over time.
- The fraction [tex]\(\frac{1}{2}\)[/tex] represents the rate at which the water is leaking.
3. Interpreting the Rate:
- The coefficient [tex]\(-\frac{1}{2}\)[/tex] means that for every 1 minute that passes, the amount of water decreases by [tex]\(\frac{1}{2}\)[/tex] ounce.
- So, the rate of leakage is [tex]\(\frac{1}{2}\)[/tex] ounce per minute.
Let's summarize:
The [tex]\(-\frac{1}{2}\)[/tex] in the equation [tex]\( W = -\frac{1}{2} m + 16 \)[/tex] represents the constant rate at which water is leaking from the bottle. Specifically, the water is leaking at a rate of 0.5 ounces per minute.
1. Equation Components:
- [tex]\( W \)[/tex] represents the amount of water in the bottle in ounces.
- [tex]\( m \)[/tex] represents the time in minutes.
- [tex]\( 16 \)[/tex] is a constant, representing the initial amount of water in the bottle when [tex]\( m = 0 \)[/tex].
2. Understanding the Coefficient:
- The term [tex]\(-\frac{1}{2}m\)[/tex] indicates how the amount of water [tex]\( W \)[/tex] changes as time [tex]\( m \)[/tex] increases.
- The negative sign indicates that the water level is decreasing over time.
- The fraction [tex]\(\frac{1}{2}\)[/tex] represents the rate at which the water is leaking.
3. Interpreting the Rate:
- The coefficient [tex]\(-\frac{1}{2}\)[/tex] means that for every 1 minute that passes, the amount of water decreases by [tex]\(\frac{1}{2}\)[/tex] ounce.
- So, the rate of leakage is [tex]\(\frac{1}{2}\)[/tex] ounce per minute.
Let's summarize:
The [tex]\(-\frac{1}{2}\)[/tex] in the equation [tex]\( W = -\frac{1}{2} m + 16 \)[/tex] represents the constant rate at which water is leaking from the bottle. Specifically, the water is leaking at a rate of 0.5 ounces per minute.
Thanks for taking the time to read Henry s water bottle is leaking at a constant rate The amount of water tex W tex in ounces that is left in the water. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
