Let x represent the number pfessages posted each month on a social netwroking website.

Answer: Continuous

Let x represent the length of time it takes to get to work.
Answer discrete

Am i correct???

Any answers????

Bzzzt, but thanks for playing!

since the number of messages is an integer, it is clearly discrete

since time can take on any value, it is continuous

Oh i saw it the other way around

Yes, you are correct.

To determine whether the variable is continuous or discrete, we need to analyze the nature of the variable.

For the first example, the number of messages posted each month on a social networking website is likely to be a continuous variable. This is because there are infinite possible values for the number of messages posted, and it can take on any non-negative value (e.g., 1 message, 2 messages, 3.5 messages, etc.). It can take on any value within a given range, making it a continuous variable.

On the other hand, the length of time it takes to get to work is likely to be a discrete variable. This is because there are specific, countable values for the time it takes to commute (e.g., 10 minutes, 15 minutes, 25 minutes, etc.). It cannot take on any value within a range, but only specific values, making it a discrete variable.

In both cases, it's important to analyze the context and characteristics of the variable to determine whether it is continuous or discrete.