Cozy Car Company Shipping Analysis

The video tutorial explains how the Cozy Car Company models car shipments to Japan and Vietnam using exponential and quadratic functions. Initially, Vietnam receives more cars, but Japan surpasses Vietnam after 7 months due to the exponential growth model. The video highlights the differences between exponential and quadratic growth, showing that exponential growth eventually outpaces quadratic growth. Graphical representations are used to visualize these models and their implications over time.

What is the function used to model the number of cars shipped to Japan?

• j(t) = 2t^2

• j(t) = 2^t

• j(t) = t^2

• j(t) = 2t

Tags

CCSS.5.OA.B.3

After 5 months, which country receives more cars from the Cozy Car Company?

• Neither receives any cars

• Both receive the same number

• Vietnam

• Japan

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CCSS.5.NF.B.6

How many cars does Japan receive after 5 months?

• 50

• 32

• 16

• 64

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CCSS.3.NF.A.3D

After 7 months, which country receives more cars?

• Japan

• Vietnam

• Neither receives any cars

• Both receive the same number

What is the number of cars Vietnam receives after 7 months?

• 98

• 128

• 150

• 200

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which function grows faster over time, exponential or quadratic?

• Exponential

• Quadratic

• Neither grows

• Both grow at the same rate

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What happens to the exponential function compared to the quadratic function over time?

• It grows slower

• It grows faster

• It grows at the same rate

• It stops growing

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CCSS.4.OA.C.5

What is the number of cars Japan receives after 8 months?

• 1024

• 512

• 256

• 128

How many cars does Vietnam receive after 9 months?

• 162

• 512

• 1024

• 256

Tags

CCSS.HSF-IF.C.7E

What tool is used to visualize the growth of the functions?

• Manual calculations

• Statistical software

• Graphing calculator

• Spreadsheet

Tags

CCSS.HSF-IF.C.7E