Question

In the table, Pattern A uses the rule "add 12" and Pattern B uses the rule "add 3." Pattern A 0 12 24 36 48 Pattern B 0 3 6 9 12 Which statement is true? Every term in Pattern B is 4 times the corresponding term in Pattern A. Every term in Pattern B is 13 the corresponding term in Pattern A. Every term in Pattern B is 9 less than the corresponding term in Pattern A. Every term in Pattern B is 14 the corresponding term in Pattern A.

Answer 1

d yw

Explanation:

i took the test

Answer 2

D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

Explanation:

Given

`A:0\ 12\ 24\ 36\ 48`

`B: 0\ 3\ 6\ 9\ 12`

Required

The true statement

Option D is true, and the proof is as follows.

The interpretation of D is:

`B = (1)/(4)A`

When
`A = 0`

`B = (1)/(4)A = (1)/(4) * 0 = 0`

When
`A = 12`

`B = (1)/(4)A = (1)/(4) * 12 = 3`

When
`A = 24`

`B = (1)/(4)A = (1)/(4) * 24 = 6`

When
`A = 36`

`B = (1)/(4)A = (1)/(4) * 36 = 9`

When
`A = 48`

`B = (1)/(4)A = (1)/(4) * 48 = 12`

Compare the calculated values with the given values of B, we have:

`B: 0\ 3\ 6\ 9\ 12` --- Calculated

`B: 0\ 3\ 6\ 9\ 12` --- Given

Hence, (d) is correct