Highway Miles Graphic Organizer
Name:
Date:
Period:
Route 300
Highway Miles Graphic Organizer
Modeling Linear Relationships: Jamison's Road Trip
\(y = mx + b\)
The Scenario: Jamison is planning a road trip and wants to calculate total distance. He writes a linear equation relating trip days (\(x\)) to total miles (\(y\)), traveling about 300 miles per day on average.
1. Variables & Equation
Independent Variable (\(x\)):
Dependent Variable (\(y\)):
Rate of Change (\(m\)):
Initial Value (\(b\)):
Equation:
\(y =\)
\(x\) +
2. Table of Values
Complete each row
| Days (\(x\)) | Process (\(300 \cdot x\)) | Miles (\(y\)) | Point \((x,y)\) |
|---|
| 0 | \(300 \cdot 0\) | | |
| 1 | \(300 \cdot 1\) | | |
| 2 | | | |
| 3 | | | |
| 4 | | | |
| 5 | | | |
3. Coordinate Graph
Plot & draw line
Plot the ordered pairs \((x,y)\) and draw the line representing Jamison's total travel distance.
0 300 600 900 1200 1500 1800 2100 0 1 2 3 4 5 6 7 Days Driven (x) Total Distance (y, Miles)
Does graph pass through \((0,0)\)?
Yes No
4. Interpretation & Predictions
A. Real-World Meaning of Slope (\(m = 300\)):
What does the slope represent in the context of Jamison's road trip?
B. Real-World Meaning of \(y\)-Intercept (\(b = 0\)):
What does the point \((0, 0)\) represent before Jamison starts driving?
C. Prediction: 7 Days Driven Find \(y\) at \(x = 7\)
If Jamison travels for \(7\) days, calculate the total distance. Show work:
Total Miles:
D. Application: 2,100 Mile Destination Find \(x\) at \(y = 2{,}100\)
Jamison's destination is \(2{,}100\) miles away. How many days will it take? Show work:
Total Days:
