A candy company plans to hang posters of a new product in supermarkets. The product is a box of premium chocolates. The art team made a
scale drawing of the top of the box using a scale of 3 inches to 1 inch. The length of the scale drawing of the box is 24 inches, and its width is 15
Inches. What are the actual dimensions of the top of the chocolate box?
A. The length is 8 inches, and the width is 5 inches.
B. The length is 12 inches, and the width is 7.5 inches.
C. The length is 16 inches, and the width is 10 inches.
D. The length is 22 inches, and the width is 12 inches.
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The answer is A.

Step-by-step explanation:

24/3=8

15/3=5

(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