Suppose that there were a positive correlation between the variables u and v. If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?

Answer:
The correct answer is 48, given by option c.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Positive correlation means that the variables are directly proportional, and thus, we apply cross multiplication.
If v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
24 - 10
x - 20
Applying cross multiplication:
[tex]10x = 24*20[/tex]
Simplifying both sides by 10:
[tex]x = 24*2 = 48[/tex]
The correct answer is 48, given by option c.