Nicole just finished a 5-mile walkathon that took her 1.4 hours. Assume she walks at a constant rate. Let [tex]y[/tex] represent the distance Nicole walks in [tex]x[/tex] hours. Describe Nicole's walking at a constant rate as a linear equation.
**Explanation:**
1. Calculate Nicole's walking rate (speed):
\[
\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{5 \text{ miles}}{1.4 \text{ hours}} \approx 3.57 \text{ miles per hour}
\]
2. The linear equation representing her walking at a constant rate is:
\[
y = 3.57x
\]
Here, [tex]y[/tex] is the distance walked, [tex]x[/tex] is the time in hours, and 3.57 is her walking speed in miles per hour.
Answer (2)
T h e s l o p e − in t erce pt f or m : y = m x + b m − t h e s l o p e ; b − t h e y − in t erce pt f or m
t h e s l o p e : m = 1.4 h o u rs 5 mi l es = 14 50 m p h = 7 25 m p h so , t h ere f ore : y = 7 25 x
Nicole's walking distance can be represented by the equation y = 3.57 x , where y is the distance in miles and x is the time in hours. Her walking speed is approximately 3.57 miles per hour. The equation shows a constant relationship between time and distance walked.
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