Question

For the function, determine whether y varies directly with x. If so, find the constant of variation and write the function rule.

x | y

2 | 6

4 | 10

5 | 11


Select the correct choice below and, if necessary, fill in the answer box within your choice.


A. Yes, y varies directly with x. The constant of variation is k = ____ and the function rule is ____.


B. No, y does not vary directly with x.


Please help asap! Tysm!

Answer 1

Answer: B. No, y does not vary directly with x

Why not? Well we would find that k isn't the same when dividing each pair of x and y values like so:

• row one: k = y/x = 6/2 = 3
• row two: k = y/x = 10/4 = 2.5
• row three: k = y/x = 11/5 = 2.2

Technically once you get to the result k = 2.5 in the second row, you could stop there. The third row is just extra practice. All of the k values must be the same if we want a direct variation equation in the form y = kx