Lesson 15 Practice

Which of the following equations has a rate of change of 3?

Answer explanation

Rate of change is another way of saying slope!

Think of slope-intercept form and which value represents the slope of the line!

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Answer explanation

Pay attention to which side of the table is the input and which is the output.

If one ticket costs $9, how much will it cost to buy 2 tickets? 3 tickets?

Which table shows the pattern correctly?

Why does the table represent a function?

• For any number of tickets, there is ONLY ONE possible total cost.

• For any total cost, there is ONLY ONE possible number of tickets.

• For any number of tickets, there is MORE THAN ONE possible total cost.

• For any total cost, there is MORE THAN ONE possible number of tickets.

Answer explanation

A relationship is a function when every input has ONLY ONE output!

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Answer explanation

If x and y are supplementary, then x + y = 180!

This graph is NOT a function. Why not?

• Some inputs have MORE THAN ONE output.

• Some inputs have the SAME output.

• Some outputs have the SAME input.

• Some outputs have MORE THAN ONE input.

Answer explanation

Go back to the definition of a function!

Is the function linear?

• Yes, the graph is linear because the points form a straight line.

• No, the graph is nonlinear because the points are not connected.

• No, the graph is nonlinear because the points do not form a straight line.

• No, the graph is nonlinear because the points form a straight line.

Which of the following graphs are LINEAR?

Select all that apply.

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• Not enough information, he needs to graph another point!

Answer explanation

Any two points can be connected with a straight line.

To check if an equation is linear or nonlinear, you must graph at least 3 points!

The table shows a ​ (a)   function because the rate of change is ​ (b)   .

• nonlinear
• not constant
• linear
• constant