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Which of the following tables represent this ratio? (High School)

Which of the following tables represent this ratio? (High School)-example-1
User Mushkie
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1 Answer

25 votes
25 votes

Answer:

Table A

Explanation:

The ratio of x to y is 3 to 8.

To determine which table represents the ratio, convert the first pair of points in each of the options to their simplest form.

Option A

When x=15, y=40


(x)/(y)=(15)/(40)=(3*5)/(8*5)=(3)/(8)

Option B

When x=8, y=32


(x)/(y)=(8)/(32)=(8)/(4*8)=(1)/(4)

Option C

When x=9, y=24


(x)/(y)=(9)/(24)=(3*3)/(3*8)=(3)/(8)

However, when x=15, and y=35


(x)/(y)=(15)/(35)=(3*5)/(7*5)=(3)/(7)

Therefore, the ratio in Option C is not constant.

Option D

When x=16, y=6


(x)/(y)=(16)/(6)=(2*8)/(2*3)=(8)/(3)

Therefore, the table that represents the given ratio is Option A.

Note:

• After using the first column in Table C, we find 3/8. But we already had 3/8 in Table A.

,

• Since there is to be just one answer, we tested using another column in Table C.

,

• If you test using another column in Table A, you will still get 3/8.

User Nick Badger
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