7. On a rainy day, the profit, P dollars, of an umbrella seller can be modeled by the equation P=-30(x-10)+300, where x dollars is the price of the umbrella (A_/2) a. What should the price be to maximize the day's profit? b. What is the maximum profit?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
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Can I have help with number 7 please
Name:
Total: K:_ C:_ T._/ A:_
b.
The vertex
7. On a rainy day, the profit, P dollars, of an umbrella seller can be modeled by the equation
P=-30(x-10)+300, where x dollars is the price of the umbrella (A__/2)
a.
What should the price be to maximize the day's profit?
b. What is the maximum profit?
8. A group of engineering students constructed a potato cannon. The height, h meters, of a
potato, t seconds after it is shot from the cannon that is on the roof of the building is modelled by
= -5(1 – 2) + 45
h = -
the equation
a. What is the initial height of the potato before it is launched? (T__/2)
ha-st
+ 204 +Qs
b. How high is the potato after 1 second? (A_/1)
Transcribed Image Text:Name: Total: K:_ C:_ T._/ A:_ b. The vertex 7. On a rainy day, the profit, P dollars, of an umbrella seller can be modeled by the equation P=-30(x-10)+300, where x dollars is the price of the umbrella (A__/2) a. What should the price be to maximize the day's profit? b. What is the maximum profit? 8. A group of engineering students constructed a potato cannon. The height, h meters, of a potato, t seconds after it is shot from the cannon that is on the roof of the building is modelled by = -5(1 – 2) + 45 h = - the equation a. What is the initial height of the potato before it is launched? (T__/2) ha-st + 204 +Qs b. How high is the potato after 1 second? (A_/1)
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