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4. write the rule for the function represented by this table. input out…

Question

  1. write the rule for the function represented by this table.

input output
3 12
4 16
5 20
6 24
7 28

Explanation:

Step1: Find the ratio

For each pair, divide output by input. For example, $\frac{12}{3}=4$, $\frac{16}{4}=4$, $\frac{20}{5}=4$, $\frac{24}{6}=4$, $\frac{28}{7}=4$.

Step2: Write the function rule

The output is 4 times the input. Let $x$ be the input and $y$ be the output, so $y = 4x$.

Answer:

$y = 4x$