For each function, determine whether y varies directly with x. If so, find the constant of variation and write the function rule. Show your Work.
X: -2, 1, 2
Y: 3, 4, 7
To determine whether y varies directly with x, we need to check if the ratio of y to x is constant for all pairs of x and y. Let's calculate the ratios:
For the pair (-2, 3):
y / x = 3 / -2 = -1.5
For the pair (1, 4):
y / x = 4 / 1 = 4
For the pair (2, 7):
y / x = 7 / 2 = 3.5
Since the ratios are not constant, y does not vary directly with x.
Therefore, there is no constant of variation or function rule for this set of data.