Presentation on theme: "6-3: Applying Linear Functions"— Presentation transcript:
1 6-3: Applying Linear Functions Essential Question: What are some facts that you can find out about a real-world situation from reading a graph that models a situation.
2 6-3: Applying Linear Functions You can model many real world situations with linear equations.Remember that a graph of an equation shows the solutions of that equationHowever, for discrete situations, not every point may represent a reasonable value.Remember: Discrete Data is CountedContinuous Data is Measured
3 6-3: Applying Linear Functions Example 1A 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.The total equals 40 plus 6 times the number of number of cars car carriersLet x = the number of car carriers Let y = the total number of carsy = x
4 6-3: Applying Linear Functions Example 1 (continued)y = xLet’s reorder the right side… y = 6x + 40Start with the y-interceptb = 40Use rise/run to make successive pointsUp 6, over 1Discrete points (not a line)We’re counting # of car carriers
5 6-3: Applying Linear Functions Your TurnA sporting goods store sells cans of tennis balls. There are 3 tennis balls in each can. Write a linear function that relates the number of cans to the total number of tennis balls.t = number of tennis balls c = number of canst = 3n
6 6-3: Applying Linear Functions Example 2: Analyzing Linear GraphsStudents in a ninth-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 graph mean for the given situation?y-intercept is $25Slope is 3It means the class charged $3/car, and started with $25 in their account.
7 6-3: Applying Linear Functions If the graph had the same slope, but a y-intercept of 15, what would that mean?It would mean that the class started with $15 instead of $25If the graph had a slope of 5, what could you conclude?That the class charged $5/car instead of $3.
8 6-3: Applying Linear Functions Your TurnSuppose you drew the following graph to represent how far you ride your bike at a steady rate.What is your rate?12 miles/hrIf the graph had a slope of 10, what could you conclude about your bike ride?Your rate would be 10 miles/hr
9 6-3: Applying Linear Functions AssignmentWorksheet #6-3All problems