Determine whether y varies directly with x. If so, find the constant of variation and write the function rule.
x
y
32
8
44
11
48
12
Question content area bottom
Part 1
Does y vary directly with x?
Yes
Your answer is correct.
No
Part 2
What is the constant of variation? Select the correct choice and fill in any answer boxes in your choice below.
A.
kequals
enter your response here (Simplify your answer. Type an integer or a fraction.)
B.
There is no constant of variation.
Part 1: Yes, y varies directly with x.
Part 2: To find the constant of variation, we can use the formula k = y/x.
For the first set of data:
k = 8/32 = 1/4
For the second set of data:
k = 11/44 = 1/4
For the third set of data:
k = 12/48 = 1/4
Therefore, the constant of variation is 1/4.
The function rule is y = (1/4)x.