## Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours. The equation of the line that models y, the distance

Question

Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours.
The equation of the line that models y, the distance left to hike, after hiking for x hours is y =___ x +___ . It will take Joan___ hours to hike 1,600 feet.

0

1. Joan’s remaining distance is reduced by (600 ft)/(3 hours) = 200 ft/hour. She starts with 1600 ft remaining, so her distance remaining (y) after x hours is
.. y = -200x +1600

In order for the distance remaining to be zero, you must have
.. 0 = -200x +1600
.. 200x = 1600
.. x = 1600/200 = 8

It will take Joan 8 hours to hike 1600 ft.

Joan’s remaining distance is reduced by (600 ft)/(3 hours) = 200 ft/hour. She starts with 1600 ft remaining, so her distance remaining (y) after x hours is

.. y = -200x +1600

In order for the distance remaining to be zero, you must have

.. 0 = -200x +1600

.. 200x = 1600

.. x = 1600/200 = 8

It will take Joan 8 hours to hike 1600 ft.

Step-by-step explanation: