Question

There are two tables shown below. Which table shows a constant rate?

Answer 1

Option B

Explanation:

To calculate the rate of the table is given by the expression,

Rate =
`(\triangle y)/(\triangle x)`

For table A,

x y
`\triangle y`
`\triangle x`
`(\triangle y)/(\triangle x)`

2 10 - - -

3 15 15 - 10 = 5 3 - 2 = 1
`(5)/(1)=5`

5 20 20 - 15 = 5 5 - 3 = 2
`(5)/(2)=2.5`

8 25 25 - 20 = 5 8 - 5 = 3
`(5)/(3)=1.67`

Therefore, rate is not constant in this table.

For table B

x y
`\triangle y`
`\triangle x`
`(\triangle y)/(\triangle x)`

3 9 - - -

5 15 15 - 9 = 6 3 - 5 = 2
`(6)/(2)=3`

8 24 24 - 15 = 9 8 - 5 = 3
`(9)/(3)=3`

10 30 30 - 24 = 6 10 - 8 = 2
`(6)/(2)=3`

Therefore, table B shows a constant rate of 3.

Option B is the correct option.