Interpret Linear Graphs
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1 Interpret Linear Graphs Objectives: -Interpret the meaning of the and intercepts, slope, and points on and off the line of a graph, in the contet of a real world situation. Common Core Standards: N.Q.1 - Use units as a wa to understand problems and to guide the solution of multistep problems; choose and interpret units consistentl in formulas; choose and interpret the scale and the origin in graphs and data displas. A.CED.3 - Represent constraints b equations or inequalities, and b sstems of equations and/or inequalities, and interpret solutions as viable or non-viable options in modeling contet. A.REI.1 - Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. Often forming a curve (which could be a line). F.IF.5 - Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. F.IF.6 - Calculate and interpret the average rate of change of a function over a specified interval. Estimate the rate of change from a graph. F.LE.1b - Recognize situations in which one quantit changes at a constant rate per unit interval relative to another. S.ID.7 - Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the contet of the data.
2 Previousl - Linear Graphs An equation that is a line when graphed Now - Interpret the Linear Graph (What does the line mean?) Title Label Title - Graph Has a Title Aes - Have Labels Quadrant - Tells ou whether the numbers are positive or negative Label
3 Algebra Test Scores 1. What situation does the graph represent? Test Scores (%) Test scores of the Algebra Students and how man hours the studied. Intercepts 2. What do the numbers on the -ais mean? The number of hours studing. Hours Studing 3. What do the numbers on the -ais mean? The test scores. 4. What does the -intercept represent? (, 4) - The student studied for hours and got a 4% on the test.
4 Algebra Test Scores Slope: Test Scores (%) change in Test Scores Slope = = change in Hours Studing 5. Wh is the slope increasing? The more hours students studied, the better the did on the test. Hours Studing
5 Math Grades 1. What situation does the graph represent? Hours Watching TV Math grades based on the number of hours students watch TV. Intercepts 2. What do the numbers on the -ais mean? The math grade Grade (%) 3. What do the numbers on the -ais mean? Number of hours watching TV. 4. What does the -intercept represent? (, 5) - The student watched five hours of TV and has a grade of % 5. What does the -intercept represent? (1, ) - The student watched no TV and has a math grade of 1%
6 Math Grades Slope: Hours Watching TV change in Hours Watching TV Slope = = change in Grade (%) 6. Wh is the slope decreasing? The less TV students watched, the better the math grade was. Grade (%)
7 Larr wanted to create a graph of the gas in his gas tank. After careful observation, he concluded that the situation could be epressed b the equation = Gas in Larr's Gas Tank 35 Number of Gallons Number of Miles Driven What statement describes the meaning of the -intercept on his graph? a. Larr can drive the car for 3 b. The car holds 6 gallons of gas. more miles. c. Larr can drive the car for 6 d. The car holds 35 gallons of gas. miles.
8 Larr wanted to create a graph of the gas in his gas tank. After careful observation, he concluded that the situation could be epressed b the equation = Gas in Larr's Gas Tank 35 Number of Gallons Number of Miles Driven What does the slope of the line mean? a. The amount of gas in Larr's car. b. The speed Larr is traveling. c. The distance Larr drove. d. The rate of fuel consumption for Larr's car.
9 Taa was eamining her cell phone plan because it was costing her a lot of mone. The cell phone compan charges a flat fee for using the line ever month, and then the charge for each minute used after that. The graph below represents this situation. Taa's Cell Phone Plan 7 Cost of Plan Number of Minutes Used According to the graph, what is the fee for using the line ever month? a. $1 b. $1 c. $3 d. $5 -intercept
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