Question

Write an equation to represent each function.

Question 1:

Inputs: 2, 4, 6, 8, 10
Outputs: 5, 9, 13, 17, 21

Question 2:

Inputs: 0, 1, 2, 3, 4
Outputs: 2, 14, 26, 38, 50

All help appreciated! Thanks much

Sorry bad English :((

Answer 1

Ques 1 -
`y=2x+1`

Ques 2 -
`y=12x+2`

Explanation:

Ques 1: From the table, we see the relation,

5 = 2 × 2 + 1

9 = 2 × 4 + 1

13 = 2 × 6 + 1

17 = 2 × 8 + 1

21 = 2 × 10 + 1

That is, the relation from the table is given by,
`y=2x+1`, where x is the input and y is the output.

Hence, the required equation is
`y=2x+1`.

Ques 2: From the table, we see that,

2 = 12 × 0 + 2

14 = 12 × 1 + 2

26 = 12 × 2 + 2

38 = 12 × 3 + 2

50= 12 × 4 + 2

That is, the relation from the table is given by,
`y=12x+2`, where x is the input and y is the output.

Hence, the required equation is
`y=12x+2`.