4.5 4 3.5 Energy (J) 0 0 0.2 0.4 0.6 0.8 Mass (kg) 1.8 1.6 1.4 1.2 Distance (m) 0.8 .4 0.2 0 0 0.1 0.2 0.3 0.4 0.5Equations: In these equations, "x" represents the independent variable, "y" represents the dependent variable, "A" and "B" represent constants. y = Ax + B y = Ax y = Ax y= Aex A V'= = B To complete this activity, copy the Excel graph provided below into your document, then identify the graph using the appropriate verbal description provided above. Include a brief explanation of why you chose the relationship you did. Also, include the appropriate mathematical equation for the relationship from the equation list given above in your explanation.\f4. 45 40 35 30 Velocity (m/s) 0 0.1 0.2 0.3 0.4 0.5 Mass (kg)5. 0.9 0.8 0.7 0.6 0.5 0.4 Current (A) 0.3 0.2 0.1 0 0 0.2 0.4 0.6 0.8 Time (s)6. 70 60 50 40 Energy (k]) 30 20 10 0 10 20 30 40 50 60 Temperature ('c)Activity #2 - Relationships in Data In physics, you must understand, and correctly recognize and describe relationships in data. One step in this process is graphing data, but sometimes students struggle with identifying the relationship shown in the graph and assigning the correct words and equations to that relationship. In this activity you will work as a team to correlate graphs, equations, and descriptors for the graphed data. Remember that when graphing data, the independent variable is placed on the horizontal axis and the dependent variable is on the vertical axis. Description: "independent" - The dependent variable does not depend on the independent variable. "directly proportional" - The ratio of the two variables gives a constant value for all points. (i.e. doubling the independent variable doubles the dependent variable) "inversely proportional" - The product of the two variables gives a constant value for all points. (i.e. doubling the independent variable halves the dependent variable) "proportional to the square" - Multiplying the independent variable by a fixed amount will cause the dependent variable to increase by the square of that amount. (i.e. doubling the independent variable quadruples the dependent variable) "linear" - A directly proportional relationship that, when plotted on a graph, results in a straight line for any given change in the dependent variable. (i.e. increasing the independent variable by a fixed amount results in the dependent variable increasing (or decreasing) by a fixed amount) Although directly proportional relationships will graph as a line, linear relationships are different in that they do not have a y intercept of zero as direct proportional relationships do. Do not use "linear" to describe a proportional relationship. "exponential" - A relationship in which the independent variable is an exponent in calculating the dependent variable. There are no exponential relationships in Physics 221