Simarpreet's Corporate Party
For Entrepreneur Professionals
Simarpreet is hosting a corporate party to promote his business in a world-renowned banquet hall. Entrepreneur Professionals are welcome!
Welcome to Embassy Grand Banquet Hall!
Embassy Grand Convention Centre
Email: simarpreetbanquet@gmail.com
Website: corporatesimarpreet.com
Phone: 905-794-9588
Offers Available to choose for a Corporate Party
- Gold Plus09 which includes a flat fee(initial cost) of $800 and $50/guest that attends.
- Gold Plus10 which includes a flat fee(initial cost) of $600 and $60/guest that attends.
Gold Plus09 Offer!
- Gold Plus09
n=Number of Guests
800 is the initial cost/flat fee
C=50n+800------- Y=mx+b form(Slope y-intercept)
50n-C=800-------Ax=By=C form(Standard Form)
50n-C-800=0------Ax+By+C=0 form(Standard Form)
Gold Plus10 Offer!
- Gold Plus10
C=Total Cost for the event
n=Number of Guests
600 is the initial cost/flat fee
C=60n+600------- Y=mx+b form(Slope y-intercept)
60n-C=600-------Ax=By=C form(Standard Form)
60n-C-600=0------Ax+By+C=0 form(Standard Form)
Below are both the offers(situations) graphed
Green Line on the graph represents the Gold Plus09 Offer.
They are graphed in "slope y-intercept form"(Y=mx+b).
Blue Line-Gold Plus09 OFFER
Well...How much is this going to cost me? I am confused between which offer to choose!
In this graph above, the two lines are intersecting at points (20, 1800), which represents the cost of the event($1800) with a total number of 20 guests.
Why are these lines intersecting?
These lines are intersecting because the two options to choose from eventually meet at a point on the graph where the value is the same(I.e. guests=20 and cost=$1800). The graphical equations to explain this are:
For example:
Now I am going to choose two points for each line on the graph;
Red line- (0,600) and (20,1800)
Blue Line- (0,800) and (20,1800)
Y2-Y1 / X2-X1= 1800-800/20-0= 50
AND
Y2-Y1 / X2-X1= 1800-600/20-0= 60
*The bolded answers are the slope.
Now, the equations are:
Since the equations are in Y=mx+b form(Slope y-intercept form)
m=slope
b=initial value(y-intercept)
y=total cost(in context)
So…
Red Line: C=50n+800
Blue Line: C=60n+600
To determine that the equation makes sense, substitute 20 into "n" and "1800" into "C", and make sure that the equation is correct
1800=60(20)+600=1200+600=1800
1800=50(20)+800=1000+800=1800
Graphical Equations(2nd set):
Blue Line: C=60n+600
Red Line: -10, 600 are the x and y intercepts respectively. Now, the equation is:
x+90y=1800
Both of the equations need to verify that the point of intersection is (20,1800) as it is displayed on the graph previously in this document.
x+90y=1800---x+90(0)=1800---x=1800
and
x+90y=1800---0+90y=1800---90y/90=1800/90=20
Therefore, the point of intersection is (20,1800)
-10+600=590 therefore this is correct, and now 50n+600=C, so the slope is 50 and the y-intercept is 600, therefore, if we graph these points, as shown below, we will get the point (20, 1800) as the point of intersection.