Rate of Change

The table below shows a linear relationship between x and y.  What is the rate of change of y with respect to x? 

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Rate of Change Tables

 The graph below shows the relationship between hours worked and tips earned for a carhop at Sonic.  What is the ROC?

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Rate of Change Graphs

The graph shows the relationship between hours spent gaming in a week and class average.

What is the rate of change?

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Rate of Change Graphs

The table below shows a linear relationship between x and y.  What is the rate of change of y with respect to x?

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Rate of Change Tables

When converting the equation

2x + 4y = 8

into slope-intercept form, the first step to solve for y would be to ____________.

• subtract 2x from each side

• subtract 4y from each side

• add 2x to each side

• add 4y to each side

After subtracting 2x from each side, the resulting equation is shown below:

2x + 4y = 8

4y = -2x + 8

The final step to solve for y would be to ____________.

• divide each term by 4

• divide each term by -4

• add 4 to each side

• subtract 4 from each side

Which of the following are ways to find the rate of change?

• change in y over change in x
• rise over run
• subtract y coordinates over subtract x coordinates
• all of the above

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A.FGR.2.2

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

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A.FGR.2.2

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 

• 200
• 150
• 300
• 75

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A.FGR.2.2

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year
• 8 inches per year
• 2 years
• 4 inches per year

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A.FGR.2.2