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Algebra I.4.A.10 - Interpreting Quadratic Functions from Graphs and Tables - Exit Ticket

Last updated over 4 years ago

11 Nsɛmmisa

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.

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1.

If the company wants to make a maximum profit, what should the price of a new toy be?

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2.

What is the minimum price of a toy that will produce profit for the company?

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3.

Explain your answer for Question #2

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4.

Estimate the value of P(0).

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5.

Explain what the value P (0) means in the problem and how this may be possible.

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6.

If the company wants to make a profit of $137, for how much should the toy be sold?

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7.

Find the domain that will only result in a profit for the company.

write the domain in this form (x,x)

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8.

Find the corresponding range of profit of the Question #7

write the domain in this form (x,x)

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9.

Choose the interval where the profit is increasing the fastest:

[2,3]

[4,5]

[5.5, 6.5]

[6,7]

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10.

Explain your reasoning.

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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.

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.