The price p (in dollars) and demand x for wireless headphones are related by x = 7,000- 0.15 p^2. The current price of $110 is decreasing at a rate $5 per week. Find the associated revenue function R(p) and the rate of change (in dollars per week) of revenue.

Total Revenue Function = 7000p - 0.15 p^3

Rate of change per unit price change = 7000 - 0.45 p^2

Step-by-step explanation:

x = 7000 - 0.15 p^2  [Quantity given]

Total Revenue is the total value of receipts from sale. TR = Price X Quantity

TR Function = p.x

= p (7000 - 0.15 p^2)  = 7000p - 0.15 p^3  

Rate of change in revenue, due to change in price

dTR / dP = 7000 - 0.45 p^2

astronomers is your final answer! : )

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!