Question

Jana is on a two-day hike. The function graphed shows the total distance she hiked in miles after x hours on the second day. Select from the drop-down menus to correctly identify the information about Jana's hike provided by the graph.
The slope is ( 0, 2, 4, or 6) The slope represents ( the total distance hiked at the start of the second day, the number of miles to be hiked, the number of miles hiked every hour, or the total distance hiked at the end of the second day) The y-intercept is ( 0, 2, 4, or 6). The y-intercept represents (any of the first options for the slope)

Answer 1

The correct answers are:

The slope is 2; The slope represents the number of miles hiked every hour; The y-intercept is 4; The y-intercept represents the total distance hiked at the start of the second day.

Explanation:

To find the slope, we find the rise/run. The rise is 2, because the line goes up 2 between points. The run is 1, because it goes over 1 between points. This makes the slope 2/1, or 2.

Since it is rise/run, this tells us miles/hours; this tells us how any miles she hikes per hour.

The y-intercept is the point where the line crosses the y-axis. This is at 4.

Since the x-value at this point is 0 and the y is 4, this tells us that 0 hours into the second day she has hiked 4 miles; this is the amount of distance she has traveled at the beginning of the second day.

Answer 2

Just took the test, the correct answer is; The slope is 2. The slope represents the number of miles hiked every hour. The Y intercept is 4. The Y intercept represents the total distance hiked at the start of the second day. 

Hope this helps :)