3.2.4 Practice : Modeling: Slope-Intercept Equation of a Line Practice Integrated Math I Trimester A

Points Possible: 20

Name:

Date:

YOUR ASSIGNMENT: Earth Traveler: Outward or Inward Bound

1. Which option did you choose? Discuss with another student why you made the choice you made. (1 point)

Troposphere (above the surface)Upper Crust (below the surface)

What do you know:

What do you want to know:

What answers do u expect:

Writing an Equation

2. Define the variables you will use in your equation. (1 point)

Let one variable be the distance away from the surface and the other variable be the temperature.

The y-intercept is the starting position at Earth's surface. The coordinates of the y-intercept are (0, temperature at Earth's surface).

3. What is the b-value of the y-intercept for your equation? (1 point)

The slope is the rate of change for temperature.

If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive.

If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative.

4. What is the slope of your equation? (1 point)

5. Write an equation that models the relationship between your variables. (1 point)

Interpreting the Equation

6. Identify and explain what each term represents in the temperature model.

a) The slope (1 point)

b) The y-intercept (1 point)

7. Identify three points on your line. (1 point)

8. Using the coordinates from question 7, calculate the slope of your line. Does it match the slope from your model? (2 points)

Graph the Equation

9. On the graph below, plot the points and sketch your line. (4 points: 1 for each graphed point, 1 for the line)

Find the Temperature Range

10. Complete the sentence for your layer. (1 point)

The troposphere is the region that starts at Earth's surface and ends between km and km above Earth.