Rate of change

Review of Rate of change, Slope Introduction, Standard form

Rate of Change - Quick facts:

Rate - compares two different units (miles/hour)
Rate of change looks at how it changes
To find the RoC, we use

 $\frac{\Delta y}{\Delta x}$ 

Multiple Choice

What is the approximate average rate of change in the total calories Leo burned between 40 and 70 minutes?

• 7.71

• 8.21

• 8.33

• 8.75

Multiple Choice

What was the average rate of change in the number of fish caught per week between weeks 2 and 5?

• about 13 fish per week

• about 18 fish per week

• about 32 fish per week

• about 40 fish per week

Multiple Choice

Find the slope of the line.

• -5/4

• 5/4

• -4/5

• 4/5

Multiple Choice

What type of slope is this?

• Positive

• Negative

• Slope of Zero

• Undefined slope

Multiple Choice

Find the slope given the points (2, −7) and (−1, 6).

• -13/3

• 13/3

• 2/3

• 0

Multiple Choice

Find the slope given the points (-5,-3) and (2,4).

• 5/4

• 1/7

• -1

• 1

Multiple Choice

What is the formula for a direct variation equation?

• y=mx+b

• y=kx

• 
  

  $m=\frac{y_2\ -\ y_1}{x_2\ -\ x_x}$

• Direct variation has no equation.

Multiple Choice

What ordered pair does a direct variation always go through when graphed?

• (2,2)

• (0,0)

• (-1,-1)

• (1,1)

Fill in the Blanks

In a direct variation equation, the k represents the

Multiple Choice

Which of the following formulas represents the standard form of an equation?

• y = kx

• y = mx + b

• Ax + By = C

Poll

Is this equation in standard form?

4x - 3y = 12

• YES

• NO

Poll

Is the following equation in Standard form?

-3y = 15

• YES

• NO

Multiple Choice

The following equation is written in slope intercept form. How is it written in Standard Form?

y = 3x -8

• y = 3x + 8

• 3x + y = -8

• 3x - y = 8

• -3x + y = -8

Multiple Choice

What is the most common reason to use an equation in Standard Form?

• It graphs a straight line

• The equation is balanced already and easier to graph

• The slope is easier to use in graphing

• The intercepts can be found and graphed