1.1 Integers and Rational Numbers

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

www.ck12.org Chapter 8. Graphs and Graphing Linear EquationsExample 3Below is a graph for converting marked prices in a downtown store into prices that include sales tax. Use the graphto determine the cost including sales tax for a $6.00 pen in the store.To find the relevant price with tax, first find the correct pre-tax price on the x−axis. This is the point x = 6.Draw the line x = 6 up until it meets the function, then draw a horizontal line to the y−axis. This line hits at y ≈ 6.75(about three fourths of the way from y = 6 to y = 7).The approximate cost including tax is $6.75.Example 4The chart for converting temperature from Fahrenheit to Celsius is shown to the right. Use the graph to convert thefollowing:a) 70 ◦ Fahrenheit to Celsiusb) 0 ◦ Fahrenheit to Celsius143
8.2. What makes a good graph www.ck12.orgc) 30 ◦ Celsius to Fahrenheitd) 0 ◦ Celsius to FahrenheitSolutiona) To find 70 ◦ Fahrenheit, we look along the Fahrenheit-axis (in other words the x−axis) and draw the line x = 70up to the function. Then we draw a horizontal line to the Celsius-axis (y−axis). The horizontal line hits the axis at alittle over 20 (21 or 22).70 ◦ Fahrenheit is approximately equivalent to 21 ◦ Celsius.b) To find 0 ◦ Fahrenheit, we just look at the y−axis. (Don’t forget that this axis is simply the line x = 0.) The linehits the y−axis just below the half way point between −15 and −20.0 ◦ Fahrenheit is approximately equivalent to −18 ◦ Celsius.c) To find 30 ◦ Celsius, we look up the Celsius-axis and draw the line y = 30 along to the function. When thishorizontal line hits the function, we draw a line straight down to the Fahrenheit-axis. The line hits the axis atapproximately 85.30 ◦ Celsius is approximately equivalent to 85 ◦ Fahrenheit.d) To find 0 ◦ Celsius, we look at the Fahrenheit-axis (the line y = 0). The function hits the x−axis just right of 30.0 ◦ Celsius is equivalent to 32 ◦ Fahrenheit.Example 5Here is an example of a graph you might see reported in the news. Most mainstream scientists believe that increasedemissions of greenhouse cases, particularly carbon dioxide, are contributing to the warming of the planet. The graphbelow illustrates how carbon dioxide levels have increased as the world has industrialized.From this graph, we can find the concentration of carbon dioxide found in the atmosphere in different years.1900 - 285 parts per million1930 - 300 parts per million1950 - 310 parts per million1990 - 350 parts per million144
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1.1 Integers and Rational Numbers

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