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 want to find an inequality that describes the relationship between the number of gigs the band's manager booked, the monthly rate, and the earnings for last month. Let's break it down step by step:
1. Understand the problem:
- The manager earns a fixed monthly rate, denoted by [tex]\( y \)[/tex].
- Additionally, for each gig booked, the manager earns \[tex]$20.
- Last month, the manager earned at least \$[/tex]170.
2. Define the variables:
- Let [tex]\( x \)[/tex] be the number of gigs booked.
- Let [tex]\( y \)[/tex] be the monthly rate.
3. Set up an equation for the earnings:
- The total earnings from gigs for the month would be [tex]\( 20x \)[/tex] (since it's \[tex]$20 per gig).
- Adding the monthly rate, the total earning equation becomes \( y + 20x \).
4. Translate the problem into a mathematical inequality:
- Since the manager's earnings were at least \$[/tex]170, the total must be greater than or equal to \$170.
- This gives us the inequality: [tex]\( y + 20x \geq 170 \)[/tex].
5. Identify the correct inequality from the given options:
- Compare your derived inequality [tex]\( y + 20x \geq 170 \)[/tex] with the provided options.
- The correct option is [tex]\( 20x + y \geq 170 \)[/tex].
That's the detailed reasoning behind choosing the inequality [tex]\( 20x + y \geq 170 \)[/tex]. This inequality accurately reflects the conditions given in the problem statement regarding the manager's earnings.
1. Understand the problem:
- The manager earns a fixed monthly rate, denoted by [tex]\( y \)[/tex].
- Additionally, for each gig booked, the manager earns \[tex]$20.
- Last month, the manager earned at least \$[/tex]170.
2. Define the variables:
- Let [tex]\( x \)[/tex] be the number of gigs booked.
- Let [tex]\( y \)[/tex] be the monthly rate.
3. Set up an equation for the earnings:
- The total earnings from gigs for the month would be [tex]\( 20x \)[/tex] (since it's \[tex]$20 per gig).
- Adding the monthly rate, the total earning equation becomes \( y + 20x \).
4. Translate the problem into a mathematical inequality:
- Since the manager's earnings were at least \$[/tex]170, the total must be greater than or equal to \$170.
- This gives us the inequality: [tex]\( y + 20x \geq 170 \)[/tex].
5. Identify the correct inequality from the given options:
- Compare your derived inequality [tex]\( y + 20x \geq 170 \)[/tex] with the provided options.
- The correct option is [tex]\( 20x + y \geq 170 \)[/tex].
That's the detailed reasoning behind choosing the inequality [tex]\( 20x + y \geq 170 \)[/tex]. This inequality accurately reflects the conditions given in the problem statement regarding the manager's earnings.
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
