At a jazz club, the cost of an evening is based on a cover charge of...

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At a jazz club, the cost of an evening is based on a cover charge of $30 plus a beverage charge of $7 per drink. (a) Find a formula for t(z), the total cost for an evening in which z drinks are consumed. t(z) = (b) If the price of the cover charge is raised by $10, express the new total cost function, n(z), as a transformation of t(z). n(z) %3D Note: Do not give an explicit formula. Using function notation, write an expression for n(z) by performing the necessary transformations to t(2). For example your answer should be of the form, n(x) = t(z – 100) + 180 and not of the form n(2) = 80z + 9. (c) The management increases the cover charge to $40, leaves the price of a drink at $7, but includes the first three drinks for free. For z2 3, express p(z), the new total cost, as a transformation of t(x). p(z) (see note in (b) above for the correct way to express your answer) At a jazz club, the cost of an evening is based on a cover charge of $30 plus a beverage charge of $7 per drink. (a) Find a formula for t(z), the total cost for an evening in which z drinks are consumed. t(z) = (b) If the price of the cover charge is raised by $10, express the new total cost function, n(z), as a transformation of t(z). n(z) %3D Note: Do not give an explicit formula. Using function notation, write an expression for n(z) by performing the necessary transformations to t(2). For example your answer should be of the form, n(x) = t(z – 100) + 180 and not of the form n(2) = 80z + 9. (c) The management increases the cover charge to $40, leaves the price of a drink at $7, but includes the first three drinks for free. For z2 3, express p(z), the new total cost, as a transformation of t(x). p(z) (see note in (b) above for the correct way to express your answer)

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