Join IDNLearn.com today and start getting the answers you've been searching for. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
To determine the equation that represents the proportional relationship between the number of beats, [tex]\( b \)[/tex], and the length of the song, [tex]\( m \)[/tex], in minutes, let's break down the information given:
1. We know that there are 292 beats in 2 minutes of the song.
2. We need to find the relationship between beats and minutes.
Starting from the given data:
- There are [tex]\(292\)[/tex] beats for [tex]\(2\)[/tex] minutes.
First, let's calculate the number of beats per minute. We can do this by dividing the total number of beats by the total number of minutes:
[tex]\[ \text{beats per minute} = \frac{292 \text{ beats}}{2 \text{ minutes}} \][/tex]
[tex]\[ \text{beats per minute} = 146 \text{ beats per minute} \][/tex]
This tells us that for every minute, there are [tex]\(146\)[/tex] beats.
Next, we can express the relationship with an equation. Since the number of beats per minute is constant, the number of beats [tex]\( b \)[/tex] is directly proportional to the number of minutes [tex]\( m \)[/tex]. Therefore, we can write:
[tex]\[ b = 146m \][/tex]
This equation indicates that the number of beats [tex]\( b \)[/tex] is 146 times the number of minutes [tex]\( m \)[/tex].
Therefore, the correct equation representing the proportional relationship between the number of beats [tex]\( b \)[/tex] and the length of the song in minutes [tex]\( m \)[/tex] is:
[tex]\[ b = 146m \][/tex]
1. We know that there are 292 beats in 2 minutes of the song.
2. We need to find the relationship between beats and minutes.
Starting from the given data:
- There are [tex]\(292\)[/tex] beats for [tex]\(2\)[/tex] minutes.
First, let's calculate the number of beats per minute. We can do this by dividing the total number of beats by the total number of minutes:
[tex]\[ \text{beats per minute} = \frac{292 \text{ beats}}{2 \text{ minutes}} \][/tex]
[tex]\[ \text{beats per minute} = 146 \text{ beats per minute} \][/tex]
This tells us that for every minute, there are [tex]\(146\)[/tex] beats.
Next, we can express the relationship with an equation. Since the number of beats per minute is constant, the number of beats [tex]\( b \)[/tex] is directly proportional to the number of minutes [tex]\( m \)[/tex]. Therefore, we can write:
[tex]\[ b = 146m \][/tex]
This equation indicates that the number of beats [tex]\( b \)[/tex] is 146 times the number of minutes [tex]\( m \)[/tex].
Therefore, the correct equation representing the proportional relationship between the number of beats [tex]\( b \)[/tex] and the length of the song in minutes [tex]\( m \)[/tex] is:
[tex]\[ b = 146m \][/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.