Suppose 2 and y are varying together at a constant rate of change and we know that the point (5, 3), or the values a 5 and y = 3, are

in the relationship. Note: You can interact with the applet by moving the purple "X" on the horizontal axis to represent varying the value of z. 109 8 6 4 2 2 4 (5.3) Ax 6 Ay 8 10 Drag the purple X on the z-axis to vary the value of a Show Hypotenuse Az = 2 Ay = 4/nBefore moving on to the next question, do the following. In the applet above, click on "Show Hypotenuse," and then vary the value of z from one value to another-do this several times and pay attention to how Ay and Ar are related as a and y vary in tandem. a. Determine if the following statements are true or false. The slanted line (hypotenuse) in the applet represents values of z and y as they change together. ii. False The values a = 2 and y 7, represented by the point (2, 7), are in the relationship represented by the above graph (the hypotenuse in the above applet). ✓✓ If the values of and y are changing together at a constant rate of change of 2, then y is always 2 times as i. True ii. False large as z. iv. True ✓✓ If the values of a and y vary together at a constant rate of change of 2, then the value of Ay = 2Az for any Az away from a point (1, 1) on the graph. b. What is the y-intercept of the above graph? y-intercept: 3 Preview The value of the y-intercept represents the value of the dependent of 0. c. Define the formula that represents y in terms of a for the graph displayed above. y=x-0 * Preview ✓quantity when the independent quantity has a value