Real World Graphs

Slope Intercept with Real World Graphs

We are practicing on slope and slope-intercept

Real Life Linear Equations

• y - intercept (0,32)

• These means that the starting fee for renting the car is $32

Multiple Choice

What is the meaning of the y-intercept of this graph?

• when the gas take is empty

• starting amount of gas

• rate at which the gas take empties

• the starting mileage

The rate of change of this graph

down 1 gallon per 25 miles

 $-\frac{1gal}{25\ miles}$ 

notice the scale on the x-axis

Multiple Choice

Which slope-intercept equation matches the graph?

• $$y=\frac{3}{2}x+2$$

• $$y=\frac{2}{3}x-3$$

• $$y=\frac{2}{3}x+2$$

• $$y=\frac{3}{2}x-3$$

Rate of change (slope)

• down 5 mL per minute

•  $-\frac{5mL}{1\min}$  

• the increment on the y-axis is 10
  

Multiple Choice

What is the situation of the linear graph?

• The beaker is being filled.

• The beaker is being emptied.

• The beaker is remaining the same amount

Multiple Select

Select ALL statements below that are TRUE.

• slope

  $$-\frac{1}{3}$$

• y-intercept (0,1)
  

• y-intercept (0,0)
  

• slope -3
  

Money Earned Selling Programs

• Ken got a job selling programs.

• He starting payment is $15

• y-intercept (0,15)

• He earns $0.50 per program sold

• slope (rate of change) $0.50 per program

Multiple Choice

Which slope intercept equation matches the graph?

• $$y=4x+4$$

• $$y=4x-1$$

• $$y=\frac{1}{4}x+4$$

• $$y=-4x+4$$

Donations

• Tanya has a donation plan of $4 to start and $2 per mile.

• Charlie has a donation plan of $10 to start and $0.50 per mile

Multiple Choice

Which equation represents this situation: Rocky's Canoe Rental charges a flat fee of $25 and $30 per hour?

• $$y=25x+30$$

• $$y=30x+25$$

• $$y=55x$$

• $$y=30x-25$$

Drew's Scuba Tank

• The y-intercept (0,40)

• starting amount of air in the tank

• The rate of change is

   $-\frac{20\ cubic\ ft}{3\ \min}$  

Multiple Choice

What is the slope-intercept equation of the graph?

• $$y=-x-5$$

• $$y=5x$$

• $$y=x-5$$

• $$y=x+5$$

Multiple Choice

Which equation represents this situation:

Pappy's Pizza charges $8 for a plain cheese pizza and $1.50 per topping.

• $$y=1.50x+8$$

• $$y=8x+1.50x$$

• $$y=8x+1.5$$

• $$y=9.50x$$

What can you tell me about the graph?

• y-intercept?

• What does it mean?

• rate of change?