Question

Janice is 7 years older than Tam. Complete the table, and then graph this situation.

Tam

x(years)

2 9

4 ?

6 ?

8 ?

Answer 1

The table in the exercise can be completed with the next results:

• x y
• 2 9
• 4 11
• 6 13
• 8 15

Explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

• y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

• y = 2 + 7
• y = 9

When x is 4:

• y = 4 + 7
• y = 11

When x is 6:

• y = 6 + 7
• y = 13

When x is 8:

• y = 8 + 7
• y = 15

At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.