The graphs below show measurements from cubes with different side lengths. Which pairs of variables have a linear relationship?
Select two options.
2 answers:
Answer:
side length and perimeter of 1 face
area of 1 face and surface area
Step-by-step explanation:
The missing options are:
- side length and perimeter of 1 face
- perimeter of 1 face and area of 1 face
- surface area and volume
- area of 1 face and surface area
- side length and volume
In the picture attached, the cube measurements are shown:
In a linear relationship:
variable a / variable b = k
<u>Case</u>: side length and perimeter of 1 face
12/3 = 16/4 = 20/5 = 24/6 = 4
<u>Case</u>: perimeter of 1 face and area of 1 face
12/9 ≠ 16/16 ≠ 20/25 ≠ 24/36
<u>Case</u>: surface area and volume
54/27 ≠ 96/64 ≠ 150/125 ≠ 216/216
<u>Case</u>: area of 1 face and surface area
54/9 = 96/16 = 150/25 = 216/36 = 6
<u>Case</u>: side length and volume
27/3 ≠ 64/4 ≠ 125/5 ≠ 216/6
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