#### amathproblemthatneedsolve

##### New member

- Joined
- May 12, 2019

- Messages
- 39

A band, The committee members of a local operatic and dramatic society organize a one-day music festival. It is held on two stages. The committee is trying to determine how many band acts (comprising two or more people) and how many solo acts (only one person) they will be able to hire for the day with an estimated $120 000 in total available to pay the acts. They want to have 30 acts (utilising the two stages) over the 24-hour period.

I know this activity requires you to use systems of equation. And they want me to model the information provided about the fees paid to performers and to provide advice to the organizers on how many band acts and how many solo acts they should I think it;s also a good idea to relate the findings to the context. – b ±√b2 – 4ac 2a logarithms If y = bx then x = logby logb (xn) = n logbx If y = ex then x = logey (=1n y)

Use Resource 1 to provide the organisers with the following information: 1. The change in the number of band acts in 2017 compared to 2016. 2. The fee they should offer to a band act in 2018 if: a. there are 30 acts in total b. all solo acts in will be offered a fee of $2 625 c. the total budget for acts is $120 000.

Resource 1: resource 1

There are two different acts – a solo act and a band act. This is information from the previous two years (2016 and 2017) and the plan, so far, for 2018. 2016 • The number of acts was 22. • The relationship between the number of solo acts and band acts can be modelled by x2 + y = 402 where x is the number of solo acts and y represents the number of band acts. 2017 valley sounds

• The amount to hire a solo act was $2 500 and the amount to hire a band act was $5 500 • The relationship between the number of solo acts and band acts can be modelled by xy = 50 + 3x where x is the number of solo acts and y represents the number of band acts. • The total cost of the acts was $90 000. 2018.

• The fee for a solo act is planned to be $2 625 and the fee for a band act has not yet been decided upon. • The relationship between the number of solo acts and band acts can be modelled by 133x + 400y2 = 59 994 where x is the number of solo acts and y represents the number of band acts. • The committee wants to have 30 acts. • The total budget for hire of acts is $120 000.

Where should I start all the words have slightly confused me??