Question

Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. Which graph best represents the scenario? A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in miles. The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes. A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 comma 0 and then rises to 20 comma 4, where it drops back down to touch the x-axis at 30 comma 0. It then rises to 40 comma 5 and is horizontal for 15 minutes. A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. A line begins at 0 comma 2, then rises to 20 comma 4. It is horizontal to 30 comma 4 and then increases to 40 comma 5. It is horizontal to 55 comma 5. A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 comma 5 and decreases to 15 comma 1 where it is horizontal to 25 comma 1. It increases to 40 comma 5 and then decreases to 55 comma 0.

Answer 1

We are given a scenario and asked to choose which graph (described verbally) represents the scenario.
Let us break down the scenario piece by piece.
The first part of the scenario is that Kent walked to the bus station. His speed will be constant so that graph will show a line sloping upward.
Next, Kent waited for the bus. This will be represented by a horizontal line.
Then, he rode the bus. This will be represented by a sloping line but steeper than the first part of the graph since the speed of the bus is greater than Kent's speed.
Finally, Kent walked to work. The graph would still be a sloping line but the slope will be less than the previous part of the graph.
So, the answer is
The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.