Nail Salon Linear Equation

A nail salon charges a flat rate per new set of nails. Plus an additional cost per design, they charge $86 for a set with 2 extra designs, its $99 for a set with 3 extra designs.

A) Write a linear equation in function notation to represent this scenario.

B) If my set ended up costing 125.00, how many extra designs did I get?

Self Assessment Section:

Creative Thinking – I love getting my nails done and love getting designs done. I chose this picture because its a picture of my friends nails when we got them done, I love the gems and the shade of green. The gems was a extra design that she got.

Critical Thinking – My information is the rough amount I pay for a acrylic set. I made sure my calculations were the same to what my salon charges me. To get a deeper French tip that is harder to do, making it a extra 10-15 dollars, which is a extra design. For my current set I have a glitter line on each nail which cost me a extra 10-15 dollars. I made sure my calculations would work by making sure each extra design would be worth the same value.

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