Question

At a dance studio, each social dance has a $5 door fee.a. Write a model for the cost C (in $) for door fees to attend x social dances. b. A VIP membership at the studio costs $80 for 3 months, but the foor fee is waived for all social Atdances. How many social dances would be required for a patron to save money by buying the VIP membership?

Answer 1

a.

Given that;

each social dance has a $5 door fee.

Then for x social dances a model for the cost C (in $) is;

`C=5x`

Cost equals the door fee per social dance multiplied by the number of social dance x.

b.

Given;

VIP membership at the studio costs $80.

So, the number of social dances required to save money to buy the VIP membership can be calculated by substituting C for $80 in the above model;

`\begin{gathered} C=5x \\ 80=5x \\ x=(80)/(5) \\ x=16 \end{gathered}`

Therefore, the number of social dances required to save money to buy the VIP membership is 16;

`x=16`