Representing Functions; Linear vs Nonlinear Functions

Write an equation to represent the function:

Jesse is traveling at a constant speed of 80 kilometers per hour. The distance, d kilometers, he travels is a function of the amount of time, t hours, that he takes.

Write an equation to represent the function:

Mr. Cooper pays a monthly charge of $40 for a family cell phone plan. Each additional family member pays $10 every month. The total amount of money, y dollars, Mr. Cooper and his family members pay each month is a function of the number of additional family members, x.

Sofia has $60 on her bus pass initially. Every time she rides a bus, $1.50 is deducted from the value on her pass. The amount of money, y dollars, she has on her pass is a function of the number of times, x, that she rides a bus.

Write an equation to represent the function.

Determine whether the table represents a linear or nonlinear function. Find the rate of change for each linear function.

• Nonlinear

• Yes; the rate of change is 3

• Yes; the rate of change is 2

• Yes; the rate of change is 1/3

Determine whether the table represents a linear or nonlinear function. Find the rate of change for each linear function.

• Nonlinear

• Yes; the rate of change is 0.8

• Yes; the rate of change is -0.8

• Yes; the rate of change is -1.25

Determine whether the table represents a linear or nonlinear function. Find the rate of change for each linear function.

• Nonlinear

• Yes; the rate of change is 0.2

• Yes; the rate of change is 0.25

• Yes; the rate of change is 0.333...

Find the rate of change for the linear function.

Find the rate of change for the linear function.

What is the independent variable of a  function? 

• the input 
• the output 
• the function notation 

What is the dependent variable of a function? 

• the input 
• the output 
• the function notation