Input and Output Linear

Determine if the following is linear or non linear.

• Non-linear, there is a constant rate of change.

• Non-linear, there is not a constant rate of change.

• Linear, there is a constant rate of change.

• Linear, there is not a constant rate of change.

• Function
• Not a Function

• Function
• Not a Function

The diagram shows a linear function of g. What is the value of k.

• 5

• 4

• 7

• 8

If the input numbers (x) are 3, 9, 4, and 8, and the output numbers (y) are respectively 13, 19, 14, and 18, which equation reflects the function?

• y = 10(x)

• y = x + 10

• y = x ÷ 10

• y = x − 10

Is this set of ordered pairs a function or not a function? 

• Function

• Not a Function 

A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.

• C(m) = 2m + 3

• C(m) = 3m + 2

• C(m) = 4m + 1

• C(m) = 5m + 2