Sales Growth and Domain Analysis

The video tutorial explains how to model the sales of a new smartphone using an exponential graph. It describes the axes, with the x-axis representing months and the y-axis representing phones sold. The tutorial discusses the limited supply of 1,600 phones and how this affects the domain of the model. It analyzes the sales growth over time, showing a doubling pattern each month, and concludes with the appropriate domain and range for the model.

What is the total supply of smartphones available for sale?

• 2,000 phones

• 1,800 phones

• 1,200 phones

• 1,600 phones

What does the x-axis represent in the graph?

• Sales revenue

• Months since release

• Growth rate

• Number of phones sold

What does the y-axis represent in the graph?

• Total revenue

• Number of months

• Growth rate

• Total number of phones sold

Why can't the domain include all real numbers?

• The growth rate is too high

• The supply is limited

• The graph is not continuous

• The x-axis is not defined

What is the growth rate of phone sales each month?

• 1.5x

• 2.5x

• 3x

• 2x

After how many months will the total sales reach the supply limit?

• 3 months

• 6 months

• 4 months

• 5 months

Why is the domain option '0 to 1600' incorrect?

• It is not a valid domain

• It exceeds the supply

• It includes negative numbers

• It represents the range

Which domain option correctly represents the model?

• All real numbers

• All positive integers

• 0 to 4

• 0 to 1600

What happens to phone sales after reaching the supply limit?

• Sales decrease

• Sales continue to grow

• Sales fluctuate

• Sales stop

Why is 'all positive integers' not a suitable domain?

• It is not a range

• It is not defined

• It is not continuous

• It includes too many values