Question

19

Select the correct answer from each drop-down menu.
Mr. Montoya instructs the students in his math class to draw a rectangle with a certain area. Catlynn draws a rectangle with a length
18 centimeters and a width of 6 centimeters.
This proportional situation represents
variation.
The constant of variation, k, is equal to
if Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be
centimeters.
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Answer 1

The proportional situation in this question represents variation. The constant of variation, k, is equal to the ratio between the length and width of the rectangle. If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters.

Step-by-step explanation:

The proportional situation represented in this question is variation. When Catlynn draws a rectangle with a length of 18 centimeters and a width of 6 centimeters, the area of the rectangle is calculated as length multiplied by width. In this case, the area is 18 * 6 = 108 square centimeters. The variation represents the relationship between the length and width of the rectangle and how it affects the area.

The constant of variation, k, represents the ratio between the length and width of the rectangle. In this case, k = length / width = 18 / 6 = 3. So, if Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 27 / k = 27 / 3 = 9 centimeters.

Answer 2

Answer: yes it's the second and first one

Step-by-step explanation: