Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:
You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:
2. Substitute it into the first equation and solve for "m":
3. Substitute the value of "m" into and evaluate, in order to find the value of "o". This is:
Answer:
The student is expected to spend <em>15.4 hours </em>doing homework
Step-by-step explanation:
The scattered plot shows there is a close correlation between the variables. A line of best fit will go through the 'center' of the points. Since we are not required to find an exact line, we'll draw it in red color as shown below
To know the equation of that line, we must take two clear points of it from the graph. We'll pick (28,4) and (4,25)
The equation of a line, given two points (a,b) and (c,d) is
Using the selected points
Simplifying and computing results, the equation is
Using that equation, we can predict how many hours the students will spend doing homework if they spend 15 hours watching TV
=15.4 hours
So the student is expected to spend 15.4 hours doing homework
