Connecting Representations of Functions

What is the equation of the line?

• y = -3/4x + 3

• y = 4/5x + 3

• y = -4/5x + 3

• y = -4/5x

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225

• y = 225x 

• y = 225x + 625

• y =  625

What is the slope?

• -1/3

• -3

• -4

• 5

In slope intercept form (y=mx+b) what is the "b"?

• The y-intercept

• The x-intercept

• The slope (rate of change)

• A point

Write the equation in slope intercept form.

• y = 2x + 3

• y = 3x + 2

• y = 2x - 1

Jenny writes the equation y = 1/2x +5.
Why is she incorrect?

• The slope is -2, the equation should be
  y = -2x + 5

• The y-intercept is 4, the equation should be y = -2x + 4

• The slope is -1/2, the equation should be
   y = -1/2x + 5

• The y-intercept is -5, the equation should be y = -2x - 5

Is the table proportional?

• Yes

• No

The table is proportional. What is the unit rate (dirt per yard)?

• 19.8

• 6.6

• 17.6

• 2.2

• 8.8

Function A is represented by the table. Function B is represented by the equation y = 3x - 4. Which function has the greatest rate of change?

• Function A because it has a rate of change of 1/2 and Function B has a rate of change of 1/3.

• Function B because it has a rate of change of 3 and Function A has a rate of change of 2.

• Function B because it has a rate of change of -4 and Function A has a rate of change of -10.

• Function A because it has a rate of change of 10/7 and Function B has a rate of change of 3.

Function A is represented by the equation. Function B is represented by the graph. What is the rate of change of Function A?

• 5

• 3/2

• 2/3

• 0, 5