Asked by Suzanna
Write the rule for each function. Write the rule as an equation.
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: _________________________________________________.
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: _________________________________________________.
Answers
Answered by
Steve
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.
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.
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