1 point) At a jazz club, the cost of an evening is based on a cover charge of $2

Question

1 point) At a jazz club, the cost of an evening is based on a cover charge of $20 plus a beverage charge of $7 per drink. (a) Find a formula for t(x), the total cost for an evening in which x drinks are consumed. t(x) = b) If the price of the cover charge is raised by $10, express the new total cost function, n(x), as a transformation of t(x). n(x) = Note: Do not give an explicit formula. Using function notation, write an expression for n(x) by performing the necessary transformations to t(x). For example your answer should be of the form, n(x)tx 100) 180 and not of the form n(x) 80x +9 (c) The management increases the cover charge to $35, leaves the price of a drink at $7, but includes the first two drinks for free. For x 2 2, express p(x), the new total cost, as a transformation of t(x) (see note in (b) above for the correct way to express your answer)

Explanation / Answer

let number of drinks = x

a) t(x) = 7x + 20

b) if price of cover charge is raised by $ 10

n(x) = t(x) + 10

= 30 + 7x

c) cover charge is increased to $ 35

p(x) = t(x-2) + 15

7 ( x- 2) + 35

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.