Activity 1: Pulling It Together ANSWER KEY Name ____________________________________ Function Function Table The relationship between the length of the (C) circumference of a circle and the length of its (d) diameter can be represented by the linear C = . function: πd If we use 3.14 for describe the ratio between the π, Use 3.14 for to determine the missing values in π circumference and the diameter of a circle. C the function table. = 3.14d Determine appropriate scales for the x-axis and y-axis. (2) Plot the values from the function table on the graph. Think About It: C = Is the linear function a proportional relationship? Justify your reasoning. πd Relationships between Quantities: C = Sketch a graph of the function πd to show the relationship that has been described above. C = Draw three similar right triangles, using the graphed line of the equation as the hypotenuse for πd each triangle. What are the values of for each triangle? When simplified, they are all close to 3, give or take. Describe any possible relationship between these values and the slope of the line that represents the function.
Activity 1: Pulling It Together ANSWER KEY Name ____________________________________ Function The relationship between the length of the circumference (C) of a circle and the length of its diameter (d) can be represented by the linear function: C = πd . If we use 3.14 for π, describe the ratio between the circumference and the diameter of a circle. C = 3.14d Function Table Use 3.14 for π to determine the missing values in the function table. Determine appropriate scales for the x-axis and y-axis. (2) Plot the values from the function table on the graph. Think About It: Is the linear function C = πd a proportional relationship? Justify your reasoning. Relationships between Quantities: Sketch a graph of the function C = πd to show the relationship that has been described above. Draw three similar right triangles, using the graphed line of the equation C = πd as the hypotenuse for each triangle. What are the values of for each triangle? When simplified, they are all close to 3, give or take. Describe any possible relationship between these values and the slope of the line that represents the function.