VB RETAILING VIRTUAL
BUSINESS
HIGH SCHOOL
Knowledge Matters
Pretest Math Quiz
QUESTION 10 of 20: You are trying to forecast hot cocoa sales for the holiday season. You sold 1,900 boxes during the holidays last year,
but your overall sales for hot cocoa this year are 15% behind last year. If you have limited promotional dollars, what is a realistic total
demand forecast for hot cocoa sales during this holiday season?
a 1,615
b) 1,685
c) 1,765
d) 1,985

a) 1,615

Step-by-step explanation:

1,900 equals 100% of sales compared to this holiday season, which is only 85% because...

100-15=85

0.85 x 1,900 = 1,615

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3