Function Notation in Application Problems

The video tutorial explains how to express information in application problems using function notation. It provides two examples: one involving power usage by a company to produce tablet computers, and another involving a salesperson's commission based on the number of cellphones sold. The tutorial demonstrates how to represent these scenarios using function notation, highlighting the input and output relationships. It concludes by summarizing the use of function notation in these contexts.

What is the purpose of using function notation in application problems?

• To make calculations faster

• To eliminate the need for variables

• To express relationships between variables

• To simplify complex equations

In the first example, what does the variable 'P' represent?

• Function notation

• Number of weeks

• Amount of power in kilowatts per week

• Number of tablet computers

How many kilowatts are used when 800 tablet computers are produced?

• 1,000 kilowatts

• 1,250 kilowatts

• 800 kilowatts

• 1,500 kilowatts

What is the function notation expression for the power used to produce 800 tablets?

• F(1,250) = 800

• F(800) = 1,250

• P = F(T)

• T = F(P)

What is the output in the function notation for the power usage example?

• Amount of power used

• Number of computers produced

• Number of weeks

• Function notation

In the second example, what does the variable 'C' represent?

• Number of cellphones sold

• Commission earned in dollars

• Cost of cellphones

• Function notation

How much commission does the salesperson earn for selling 45 phones?

• $600

• $500

• $700

• $650

What is the function notation expression for the commission earned from selling 45 phones?

• P = F(C)

• F(650) = 45

• F(45) = 650

• C = F(P)

What is the input in the function notation for the salesperson's commission?

• Total sales amount

• Weekly sales target

• Number of phones sold

• Commission earned

What is the common theme between the two examples provided?

• Both use function notation to express relationships

• Both involve energy consumption

• Both involve calculating costs

• Both are about sales