Question

Qamar has enough lacquer to coat 600 square feet of flooring. Her client wants her to build a room in the shape of a parallelogram. Create a table to help Qamar find the dimensions of various parallelograms that will use all of the lacquer she has. A) Write the function equation that represents this situation. Independent Quantity Process Dependent Quantity Quantity Name :___________________ Quantity Name :___________________ Variable = ______ Variable = ______ 4 _______ 8 _______ 12 _______ _______ 30 25 _______ _______ 7.5 _______ 2.5

Answer 1

Function; Area = base * height

See Explanation

Explanation:

Given that the shape is a parallelogram and the area is 600ft².

The function equation that represent the situation is the area of the parallelogram...

Area = bh

Where b = base and h = height

Variable = ______ Variable = ______

4 _______

8 _______

12 _______

_______ 30

25 _______

_______ 7.5

_______ 2.5

Filling the above table, the variables are height and base.

Let's assume the first column represent height while the second represent base.

When height = 4

Area = base * height

600 = base * 4

Base = 600/4

Base = 150

When height = 8

600 = base * 8

Base = 600/8

Base = 75

When height = 12

Base = 600/12

Base = 50

When base = 30

Height = 600/30

Height = 20

When height = 25

Base = 600/25

Base = 24

When base = 7.5

Height = 600/7.5

Height = 80

When base = 2.5

Area = 600/2.5

Area = 240.

Hence, the complete table goes thus;

Variable = height --_ Variable = base

4 _______ 150

8 _______ 75

12 _______ 50

20_______ 30

25 _______ 24

80_______ 7.5

240_______ 2.5