5.4- Tables, Equations, and Graphs of Functions

5.4- Tables, Equations, and Graphs of Functions

What do you notice? What do you wonder?

Consider what the graph might represent.

Multiple Choice

Which equation would match the graph.

• $d=60t$ where $d$ is the distance in miles that you would travel in $t$ hours if you drove at 60 miles per hour.

• $q=50-0.4d$ , where $q$ is the number of quarters, and $d$ is the number of dimes, in a pile of coins worth $12.50.

• $A=\pi r^2$ , where $A$ is the area in square centimeters of a circle with radius $r$ centimeters.

Multiple Choice

Which equation would match the graph.

• $d=60t$ where $d$ is the distance in miles that you would travel in $t$ hours if you drove at 60 miles per hour.

• $q=50-0.4d$ , where $q$ is the number of quarters, and $d$ is the number of dimes, in a pile of coins worth $12.50.

• $A=\pi r^2$ , where $A$ is the area in square centimeters of a circle with radius $r$ centimeters.

Multiple Choice

Which equation would match the graph.

• $d=60t$ where $d$ is the distance in miles that you would travel in $t$ hours if you drove at 60 miles per hour.

• $q=50-0.4d$ , where $q$ is the number of quarters, and $d$ is the number of dimes, in a pile of coins worth $12.50.

• $A=\pi r^2$ , where $A$ is the area in square centimeters of a circle with radius $r$ centimeters.

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Each representation of a function presents information about the input and output of the function in different ways. Tell students to imagine we have a function with independent variable x and dependent variable y.

• How do we find input-output pairs from a graph of the function?

• What is something you won’t see on the graph of the function?

• If the graph of the function contains the point (18,6) , what else do we know about the function?

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Multiple Choice

Here is the graph of a function showing the amount of money remaining on a subway fare card as a function of the number of rides taken.

What does point P tell you about the situation?

• after 27 rides there will be $7.00 remaining on the ride

• point P doesn't tell me anything

• after spending $27.50 there is $7.00 left on the card

• after 7 rides there will be $27.50 remaining on the card