Question

lesson practice 8.5.04 name date period problems 1–2: write an equation that expresses the output as a function of the input. then determine the independent and dependent variables. 1. the perimeter, p, of a square with side length s: equation: p = 4s independent variable: s dependent variable: p

Explanation:

Step1: Define perimeter formula for square

A square has 4 equal sides, so perimeter $p$ is 4 times side length $s$.
$p = 4s$

Step2: Identify independent variable

The input (controllable) is side length $s$.

Step3: Identify dependent variable

The output (depends on $s$) is perimeter $p$.

Answer:

Equation: $p = 4s$
Independent variable: $s$
Dependent variable: $p$