Question

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

Answer 1

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.