Sonja is running laps on the track. Which description best matches what is shown on the graph?
A graph is shown in the xy-plane. The x-axis is labeled as Time left parenthesis in minutes right parenthesis and the y-axis is labeled as Distance left parenthesis in miles right parenthesis. The values on the x-axis ranges from 0 to 15 in increments of 3 and the values on the y-axis ranges from 0 to 2 in increments of 1. A curve starts from the origin and goes up in the shape of a concave up curve. The graph is labeled as Sonja's Exercise.
A. Sonja’s running slowly decreased for the first 3 minutes, and then her running increased quickly.
B. Sonja’s running slowly increased for the first 3 minutes, and then her running increased quickly.
C. Sonja slowly increased speed the entire time she ran laps.
D. Sonja slowly decreased speed the entire time she ran laps.
B. Sonja’s running slowly increased for the first 3 minutes, and then her running increased quickly.
This is because the curve starts from the origin and goes up in the shape of a concave up curve, indicating that Sonja is increasing her speed. Additionally, the graph is labeled as "Sonja's Exercise," implying that she is likely exercising and therefore increasing her speed as she progresses. The fact that the curve starts off more gradually and then increases more quickly also supports option B.
To determine the answer, we need to analyze the information provided in the graph.
First, let's take a look at the x-axis which represents "Time (in minutes)". We can see that the values on the x-axis range from 0 to 15 in increments of 3. This means that the graph covers a total time of 15 minutes.
Next, let's look at the y-axis which represents "Distance (in miles)". The values on the y-axis range from 0 to 2 in increments of 1, indicating that the distance covered ranges from 0 to 2 miles.
Based on the description of the graph, we can see that the curve starts from the origin (0,0) and goes up in the shape of a concave up curve. This means that the distance covered is increasing over time, but at a decreasing rate. In other words, the graph is showing a scenario where Sonja is initially running at a faster speed, but her speed gradually decreases over time.
Using this information, we can determine that Option A. "Sonja’s running slowly decreased for the first 3 minutes, and then her running increased quickly." is the best match for the description shown on the graph.
So, the correct answer is option A.