Question

Two rules for creating a pattern are given below.
Rule 1: Multiply x by 5 to get y
Rule 2: Add 12 to x to get y
Which ordered pair, (x,y), works for both rules?
Choose 1 answer:
A) (0,12)
B) (3,15)
C) (5,25)

Answer 1

Answer:

B) (3,15)

Step-by-step explanation:

Let's try rule 1.

x × 5 = y

5x = y -> 1

Now let's try rule 2.

12 + x = y

12+ x = y -> 2

Equating eqn. 1 and 2,

5x = 12 + x

4x = 12

x = 3

From eqn. 1,

5x = y

5 × 3 = y

Hence, y =15

So the final answer is B) (3,15).