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Welcome to MS 101 Intermediate Algebra Chapter 1 Linear Equations and Linear Functions • • • • • Qualitative Graphs Graphing Linear Equations Slope Finding Linear Equations Functions 1.1 Qualitative Graphs • Definition: Graph without scaling (tick marks and their numbers) on the axis. Medication Costs p price Linear Curve Time t Independent/Dependent Variables • Price p is dependent on the year t. • (p is dependent of t) p is a dependent variable • Year t does not depend on the price p. • (t is independent of p) t is an independent variable Examples • You are taking a patient’s pulse counting the beats b per minute m. • The number of people n that can run m miles. • Waiting inline in the cafeteria for lunch. Use n for number of people in front and w for the wait time. • Answers: » Independent - m, n, n » Dependent - b, m, w Dependent Variable Independent Variable Intercepts Average Age of Nurses m Average Age A m-intercept A-intercept n-intercept parabola n Years Since 1900 t • An intercept of a curve is the point where the curve intersects an axis (or axes). Graph Characteristics • Increasing Curve – upward from left to right • Decreasing Curve – downward from left to right • Quadrants Examples • Height of a ball thrown straight up • The temperature in Celsius of boiled water placed in a freezer • Heart rate of a person on a treadmill • The value of a car after a fixed as the pace is steadily increased amount of years