Answer:
y = -200x +1600
It takes her 8 hrs to hike 1600 feet.
Step-by-step explanation:
The required equation of the line that models the distance left to hike is y = -200x+1600.
Joan is hiking 600 feet every 3 hours, she wants to cover 1600 feet. The equation of the line to be determined explains the left distance to hike.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
Let y be the distance left to hike and x be the time in hours.
Hike rate per hours(m) = 600/3 =200
The equation of the line is y = mx+c
Since m = -200 negative sign shows that decreasing rate.
c = 1600
⇒ y = -200x+1600
Thus, the required equation of the line that models the distance left to hike is y = -200x+1600.
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