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Question
jasmine is hiking at a state park. her distance from home, y, is a function of the time she hikes, x. time (h), x: 2, 5, 8; distance from home (mi), y: 12, 18, 24. rate of change: 2. first, substitute the rate of change into the equation. y = mx + b, y = □x + b
Step1: Identify slope value
The rate of change is the slope $m$ in the equation $y = mx + b$. Given rate of change $m = 2$. So we substitute $m$ into the equation.
$y=mx + b$ becomes $y = 2x + b$
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$2$