We appreciate your visit to The band s manager earns a monthly rate plus tex 20 tex for each show booked Last month the manager earned at least tex 170. 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 solve this problem, we need to find the correct inequality that describes the relationship between the number of gigs booked, the monthly rate, and the total earnings of the band's manager for the last month.
Given:
- The manager earns a fixed monthly rate, which we'll call [tex]\( y \)[/tex].
- The manager also earns [tex]$20 for each gig booked, represented by \( 20x \).
- Last month, the manager earned at least $[/tex]170 in total.
We are trying to express this situation as an inequality that represents the total earnings from both the fixed monthly rate and the gigs.
The manager's total earnings is the sum of the base monthly rate plus the earnings from the gigs:
[tex]\[ \text{Total earnings} = y + 20x \][/tex]
Since the manager earned at least [tex]$170, we need the total earnings to be greater than or equal to $[/tex]170:
[tex]\[ y + 20x \geq 170 \][/tex]
Now, let's see which option matches this logic:
1. [tex]\( x + 20y < 170 \)[/tex]
2. [tex]\( x + y < 170 \)[/tex]
3. [tex]\( y + 20x > 170 \)[/tex]
4. [tex]\( 20x + y \geq 170 \)[/tex]
The inequality that represents the manager earning at least $170 is:
[tex]\[ 20x + y \geq 170 \][/tex]
So, the correct choice is: [tex]\( 20x + y \geq 170 \)[/tex].
Given:
- The manager earns a fixed monthly rate, which we'll call [tex]\( y \)[/tex].
- The manager also earns [tex]$20 for each gig booked, represented by \( 20x \).
- Last month, the manager earned at least $[/tex]170 in total.
We are trying to express this situation as an inequality that represents the total earnings from both the fixed monthly rate and the gigs.
The manager's total earnings is the sum of the base monthly rate plus the earnings from the gigs:
[tex]\[ \text{Total earnings} = y + 20x \][/tex]
Since the manager earned at least [tex]$170, we need the total earnings to be greater than or equal to $[/tex]170:
[tex]\[ y + 20x \geq 170 \][/tex]
Now, let's see which option matches this logic:
1. [tex]\( x + 20y < 170 \)[/tex]
2. [tex]\( x + y < 170 \)[/tex]
3. [tex]\( y + 20x > 170 \)[/tex]
4. [tex]\( 20x + y \geq 170 \)[/tex]
The inequality that represents the manager earning at least $170 is:
[tex]\[ 20x + y \geq 170 \][/tex]
So, the correct choice is: [tex]\( 20x + y \geq 170 \)[/tex].
Thanks for taking the time to read The band s manager earns a monthly rate plus tex 20 tex for each show booked Last month the manager earned at least tex 170. 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
