Question

Mrs. Huck is selling her own brand of roasted peanuts at a local amusement park where the profit P depends on the number of peanut bags sold B, and number of bags sold B depends on the number of visitors V to the amusement park. The following equations represent her scenario:
P = 10B - 150

B = 8(V - 5)

Write an equation for profit based on visitors.
P = ________

Write an equation for Profit using your answer from part (a).

Simplified Expression:
P= _________

Using your equations, find the profit if the number of visitors are 50 in a given day.​

Answer 1

Answer:

  a) P = 10(8(V -5)) -150

  b) P = 80V -550

  c) P = 3450

Step-by-step explanation:

a) Use the expression for B to substitute into the equation for P:

  P = 10(8(V -5)) -150

__

b) Eliminate parentheses and collect terms.

  P = 10(8V -40) -150

  P = 80V -400 -150

  P = 80V -550

__

c) Substitute 50 for V and do the arithmetic.

  P = 80·50 -550

  P = 3450