Answer : Each grade level will be 30,60,90,30 respectively.
Explanation:
Since we have given that ratio of freshman to sophomores to juniors to seniors in band is 1:2:3:2
Let the number of fresh man be x
Let the number of sophomores be 2x
Let the number of juniors be 3x
Let the number of seniors be 2x
According to question,
x+2x+3x+2x=240
⇒8x=240
⇒x=
⇒x=30
So, the required number of freshman is 30
Number of sophomores is 2×30=60
Number of juniors is 3×30=90
Number of seniors is 2×30=60
we will draw the graph according to the given constraints
NOTE: when we draw the graph from constraints inequalities becomes equalities just to draw the graph
Given constraints are:
Now we draw the graph of given constraints using graphing calculator. Please see the attachment for the graph. Shaded region is the feasible region
Answer:
45,000 people
Step-by-step explanation:
Let
P -----> the number of people, that are left in the stadium
M ----> the time in minutes
we have
This is a linear equation in slope intercept form
where
The slope is
----> is negative because is a decreasing function
The P-intercept is
Remember that the P-intercept is the value of P when the value of M is equal to zero
That means
For M=0 min
P=45,000 people (number of people that were present when the game ended but before people started to leave)