Melinda bought two new rugs for her bathroom. The bigger one is 12 inches tall and 20 inches wide, the smaller one is 6 inches tall and 14 inches wide.

Which of the following statements is true?

A.The rugs are not proportional because 20 x 12 does not equal 14 x 6.
B.The rugs are not proportional because 20 x 6 does not equal 12 x 14.
C.The rugs are proportional because 20-14 = 12-6.
D.The rugs are porportional because 20+6 = 12+14.

12/20 = 6/14

6/10 does not = 2/7

Which do you think the answer is?

The answer is A???

Right. The answer is A.

Thank you Ms.Sue, you are the best!

You're welcome, Cassidy. :-)

To determine if the rugs are proportional, we need to compare the ratios of their corresponding dimensions. The ratio of the height to width for the bigger rug is 12:20, which can be simplified to 3:5. Similarly, the ratio of the height to width for the smaller rug is 6:14, which can be simplified to 3:7.

Let's check each statement to see if it is true:

A. The statement says that the rugs are not proportional because 20 x 12 does not equal 14 x 6. This statement is incorrect because it is comparing the areas of the rugs, not their ratios.

B. The statement says that the rugs are not proportional because 20 x 6 does not equal 12 x 14. This statement is also incorrect because it is comparing the areas of the rugs, not their ratios.

C. The statement says that the rugs are proportional because 20-14 = 12-6. This statement is incorrect because it is checking if the differences between the dimensions of the rugs are equal, which is not a valid way to determine proportionality.

D. The statement says that the rugs are proportional because 20+6 = 12+14. This statement is incorrect because it is checking if the sums of the dimensions of the rugs are equal, which is not a valid way to determine proportionality.

Therefore, none of the statements are true. The correct answer is none of the above. The rugs are not proportional because their ratio of height to width is different.