Write the rule for each function. Write the rule as an equation.

Question

Input x 1 2 3 4 5 6
Output y 6 7 8 9 10 11


Rule: _________________________________________________.

Input x 1 2 3 4 5 6
Output y 5 8 11 14 17 20


Rule: _________________________________________________.

Input x 1 2 3 4 5 6
Output y 4.5 5 5.5 6 6.5 7


Rule: _________________________________________________.

Input h 1 2 3 4 5 6
Output w 4 7 10 13 16 19

Rule: _________________________________________________.

Answer 1

these are all linear functions, since the output changes by a fixed amount when the input does.

The ratio of the changes is the slope of the line.

For example, the last one has a slope of 3, since when x increases by 1, y increases by 3 every time. So, you want a rule that looks like

y = 3x

However, when x=1, 3x=3, but y=4. So, adjust it by 1, and you have the rule

y = 3x+1

which you can see fits the table.

Work the others the same way.