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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?

Respuesta :

a.

Given that;

each social dance has a $5 door fee.

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

[tex]C=5x[/tex]

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;

[tex]\begin{gathered} C=5x \\ 80=5x \\ x=\frac{80}{5} \\ x=16 \end{gathered}[/tex]

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

[tex]x=16[/tex]

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