1. Chapter 6: Linear Equations & Their Graphs
6.3
Applying Linear Equations

2. Review
Slope:
Point-Slope Form:
Slope-Intercept Form:
Standard Form:

3. Example 1
A car dealership has 40 cars in stock. The auto manufacturer will deliver new cars to the dealership by car carrier. Each carrier holds 6 cars. Write a linear function that relates the number of carriers used to the total number of cars at the dealership. Graph the function that models the situation.

4. Example 1a
A sporting goods store sells cans of tennis balls. There are 3 tennis balls in each can. The coach of the tennis team is buying supplies. Write a linear function that relates the number of cans to the total number of tennis balls. Graph the function that models the situation.

5. Example 2
Students in a 9th grade class drew the following graph to represent how much money would be in the class fund after washing cars at a fundraiser.
What does the slope and y-intercept of the graph mean for the given situation?
If the graph had the same slope but a y-intercept of 15, what could you conclude about the fundraiser?
If the graph had a slope of 5, what could you conclude about the fundraiser?

6. Example 2a
Suppose you drew the following graph to represent how far you ride your bike at a steady rate. What is your rate?
If the graph had a slope of 10, what could you conclude about your bike ride?

7. Example 3
A lumber yard sells pre-cut 6-, 8-, 10-, and 12-foot beams for $1.20 per foot. Model the situation with a linear function and a graph.

8. Example 4
Suppose your family buys a “movie card” from a DVD store that entitles you to rent 25 movies. You rent 3 movies per week. Write an equation and draw a graph that models the situation.

9. Homework
P. 325
2-14 even