Waterway Journeys Music School provides private music lessons for elementary students. Its operating costs are as follows:

Rent on facilities $$2,280$ per month

Advertising

$$437$ per month

Instrument Rent

$$700$ per month

Teaching Instruction

Books

$$41$ perstudent

Other Costs

$$5$ per student

$$3$ perstudent

Waterway Journeys charges $$100$ per student per month.

$($a$)$

Your answer is correct.

Determine the company's break$-$even point in $(1)$ number of students taught per month and $(2)$ dollars.

$(1)$

Break even in number of students taught per month $$ students

$(2)$

Break even in dollars

$

eTextbook and Media

Attempts: $1$ of $2$ used

$($b$)$

Waterway Journeys has just received notice that the rent on their facilities will be increasing by $$439$ per month and the instrument rent will also be increasing $$20$ per month. $(1)$ Determine the company's break$-$even point in the number of students taught per month based on the new information. $(2)$ Determine the amount to charge per student assuming that Waterway Journeys does not increase the number of students taught. If Waterway Journeys does not want to increase their fees, how many additional students will they need to attract? $($Round amount to charge per student to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

$(1)$ Break even in number of students taught per month $$ students

$(2)$ Amount to charge per student $$

Additional number of students $$ students

eTextbook and Media

$$ Attempts: $0$ of $2$ used