Answer:
The equation that represents the distance left to hike is: [tex]y = 1600 - 200*x[/tex]
The time it'll take to hike 1600 ft is: x = 8 h
Step-by-step explanation:
Since Joan hikes 600 ft every 3 hours, then her average speed is given by:
[tex]v_{avg} = \frac{600}{3} = 200\text{ }\frac{\text{ft}}{\text{h}}[/tex]
Since she wants to cover 1600 feet, then the equation that represents the distance left to hike is:
[tex]y = 1600 - 200*x[/tex]
The time it'll take to hike 1,600 feet is the time it'll take for y = 0, because at that point the distance left to hike is equal to zero.
[tex]0 = 1600 - 200*x\\200*x = 1600\\x = \frac{1600}{200} = 8 \text{ h}[/tex]
Answer:
y=200x. it will take joan 8 hours to hike 1600 ft.
Step-by-step explanation: Hope This Helps :)
