5.3.4 Journal:Two-Variable Systems:

2. Do you agree that your classmate set up the equations correctly? Explain why or why not. (2
points: 1 point for yes/no answer, 1 for explanation)

Yes, the equations are correct.

x represents the time that one individual act takes.

y represents the time that one group act takes.

Step-by-step explanation:

the first statement says:

"The first show will last 2 hours, and 12 individual acts, and 6 group acts"

He writes this as:

12*x + 6*y = 120.

then x represents the time that individual acts take.

6 represents the time that group acts take.

120 represents the time in minutes (120 min = 2 hours).

The second statement says:

"The final show will last 30 minutes, and it will include the top 4 individual groups, and the top group act."

this is written as:

4*x + 1*y = 30

And it is consistent with the thing we saw above.

At the right, we have time in minutes, 30 minutes.

x represents the time that each individual act needs, and in this case, we have 4 individual acts.

and y represents the time that the group acts need, and we have only one group act in this case.

Then yes, you must agree with your classmate.