Algebra I.4.A.10 - Interpreting Quadratic Functions from Graphs and Tables - Exit Ticket
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11 Questions
A toy company is manufacturing a new toy and trying to decide on a price that
will result in a maximum profit. The graph below represents profit (P) generated
by each price of a toy (x). Answer the questions based on the graph below.
10
1.
If the company wants to make a maximum profit, what should the price of a new
toy be?
If the company wants to make a maximum profit, what should the price of a new
toy be?
10
2.
What is the minimum price of a toy that will produce profit for the company?
What is the minimum price of a toy that will produce profit for the company?
10
3.
Explain your answer for Question #2
Explain your answer for Question #2
10
4.
Estimate the value of P(0).
Estimate the value of P(0).
10
5.
Explain what the value P (0) means in the problem and how this may be possible.
Explain what the value P (0) means in the problem and how this may be possible.
10
6.
If the company wants to make a profit of $137, for how much should the toy be
sold?
If the company wants to make a profit of $137, for how much should the toy be
sold?
10
7.
Find the domain that will only result in a profit for the company.
Find the domain that will only result in a profit for the company.
write the domain in this form (x,x)
10
8.
Find the corresponding range of profit of the Question #7
Find the corresponding range of profit of the Question #7
write the domain in this form (x,x)
10
9.
Choose the interval where the profit is increasing the fastest:
Choose the interval where the profit is increasing the fastest:
10
10.
Explain your reasoning.
Explain your reasoning.
10
11.
The company owner believes that selling the toy at a higher price will result in
a greater profit. Explain to the owner how selling the toy at a higher price
will affect the profit.
The company owner believes that selling the toy at a higher price will result in
a greater profit. Explain to the owner how selling the toy at a higher price
will affect the profit.
From EngageNY.org of the New York State Education Department. Grade HS1 Algebra Module 4, Topic A, Lesson 10 Internet. Available from https://www.engageny.org/resource/algebra-i-module...; accessed 03/Nov/2015.