Question

Katie is biking to the beach. The graph gives her distance from the beach x hours after she began riding.

Answer 1

Answer:

Step-by-step explanation:

The graph is a plot of distance in kilometers on the vertical axis against time, in hours on the horizontal axis.

1) The x-intercept is the point on the horizontal axis at which y = 0. This means that at this point, the distance from the beach to her house is zero. From the graph, the point is 6 hours.

2) The y-intercept is the point on the vertical axis at which x = 0. This means that this point is the point at which she started to ride. At this point,time = 0 hours and the distance from the beach to her house is 75 kilometers.

3) slope is expressed as

Change in y / change in x

We will pick 2 points on the y axis and two corresponding points on the x axis.

Change in y = y2 - y1

Change in x = x2 - x1

Slope = (0-75) / (6 - 0) = -75/6

Slope = - 12.5 kilometers per hour

The slope represents the rate at which her distance from the beach changes with time. It represents her velocity. It is negative because her distance from the beach is decreasing with time

Answer 2

Answer:

1. Distance from Katie's House to the beach = 75 km

2. Hours that it takes to get to the beach = 6 hrs

3. -12.5 which tells us the rate at which katie traveled which was 12.5 km per hour

Steps to 3.

Rise/Run = -75/6 = -12.5 = slope