Graphing Real World Problems

Graphing Real World Problems

By Patrick Resch

​Drane plumbing charges $42 per hour plus $35 just to listen to your problem. If it took the plumber 6 hours to complete the job. How much would the bill be?

Fill in the Blanks

Initial Value =

Fill in the Blanks

Rate of Change =

Fill in the Blanks

Independent Variable =

Fill in the Blanks

Dependent Variable =

Drane plumbing charges $42 per hour plus $35 just to listen to your problem. If it took the plumber 6 hours to complete the job. How much would the bill be?

​Δ X	​X	​Y	​Δ Y
​	​	​	​
​	​	​	​
​	​	​	​
​	​	​	​
​	​	​	​

Fill in the Blanks

$\frac{\Delta\ Y}{\Delta\ x}=$  

You do not need the "$" sign

Fill in the Blanks

Starting Point =

Answer must be in (x,y)

Fill in the Blanks

It took the plumber 6 hours to complete the job. How much should the bill be?

Answer must be in (x,y)

Open Ended

Drane plumbing charges $42 per hour plus $35 just to listen to your problem. If it took the plumber 6 hours to complete the job.

Write the equation for this scenario

Fill in the Blanks

Given

$y=42x+35$  

What is the Constant?

Fill in the Blanks

Given

$y=42x+35$  

What is the Coefficient?

Open Ended

Drane plumbing charges $42 per hour plus $35 just to listen to your problem. If it took the plumber 6 hours to complete the job.

Write the equation for this scenario

​Solve the problem using Function Notation

​

Use your White Board!​

​Sol

Open Ended

What does this solution mean?

Graph Using the Whiteboard

Must include

• Title for the Graph

• Label the x and y axis

• Label the scale for the axis

• Plot the points from the table​

​ΔX	​X	Y​	Δ​Y
​	​0	35​	​
+1	​1	77​	​+42
​	​2	119​	​
​	3	161​	​
​	​4	​203	​

​The cost of mailing a package is $3 plus $0.75 per pound. How much will it cost to mail a 10 pound package?

Fill in the Blanks

Initial Value =

Fill in the Blanks

Rate of Change =

Fill in the Blanks

Independent Variable =

Fill in the Blanks

Dependent Variable =

​​The cost of mailing a package is $3 plus $0.75 per pound. How much will it cost to mail a 10 pound package? Solve using the table below.

​Δ X	​X	​Y	​Δ Y
​	​	​	​
​	​	​	​
​	​	​	​
​	​	​	​
​	​	​	​

Fill in the Blanks

$\frac{\Delta\ Y}{\Delta\ x}=$  

You do not need the "$" sign

Fill in the Blanks

Starting Point =

Answer must be in (x,y)

Fill in the Blanks

How much will it cost to mail a 10 pound package?

Answer must be in (x,y)

Open Ended

​​The cost of mailing a package is $3 plus $0.75 per pound. How much will it cost to mail a 10 pound package?

Write the equation for this scenario

Fill in the Blanks

Given

$y=.75x+3$  

What is the Constant?

Fill in the Blanks

Given

$y=.75x+3$  

What is the Coefficient?

Open Ended

​​The cost of mailing a package is $3 plus $0.75 per pound. How much will it cost to mail a 10 pound package?

Rewrite the equation for this scenario using Function Notation.

​Solve the problem using Function Notation

​

Use your White Board!​

Open Ended

What does this solution mean?

Graph Using the Whiteboard

Must include

• Title for the Graph

• Label the x and y axis

• Label the scale for the axis

• Plot the points from the table​

​ΔX	​X	Y​	Δ​Y
​	​2	4.50	​
+1	​4	6	​+1.5
​	​6	7.50	​
​	8	9.00	​
​	​10	​10.50	​

​For four consecutive years, Darin recorded the height of a tree that he planted. He plotted the height of the tree at the same time every summer and drew a line containing the previous years data point to the new years data point. The tree was 3 feet tall when he planted it. It grew 6 inches every 6 months. How tall was the tree after 5 years.

Fill in the Blanks

Initial Value =

Fill in the Blanks

Rate of Change =

(Feet/Year)

Fill in the Blanks

Independent Variable =

Fill in the Blanks

Dependent Variable =

The tree was 3 feet tall when he planted it. It grew 6 inches every 6 months. How tall was the tree after 5 years. Solve using the table below.

​Δ X	​X	​Y	​Δ Y
​	​	​	​
​	​	​	​
​	​	​	​
​	​	​	​
​	​	​	​

Fill in the Blanks

$\frac{\Delta\ Y}{\Delta\ x}=$  

Fill in the Blanks

Starting Point =

Answer must be in (x,y)

Fill in the Blanks

How tall was the tree after 5 years

Answer must be in (x,y)

Open Ended

The tree was 3 feet tall when he planted it. It grew 6 inches every 6 months. How tall was the tree after 5 years.

Write the equation for this scenario

Fill in the Blanks

Given

$y=x+3$  

What is the Constant?

Fill in the Blanks

Given

$y=x+3$  

What is the Coefficient?

Open Ended

The tree was 3 feet tall when he planted it. It grew 6 inches every 6 months. How tall was the tree after 5 years.

Rewrite the equation for this scenario using Function Notation.

​Solve the problem using Function Notation

​

Use your White Board!​

Open Ended

What does this solution mean?

Graph Using the Whiteboard

Must include

• Title for the Graph

• Label the x and y axis

• Label the scale for the axis

• Plot the points from the table​

​ΔX	​X	Y​	Δ​Y
​	​0	3	​
+1	​1	4	​+1
​	​2	5	​
​	3	​6	​
​+2	​5	​8	​+2