Question

Scenario:

Elena and Jada were racing 100 meters on their bikes. Both racers started at the same time and rode at constant speed. Here is a table that gives information about Jada’s bike race:


time from start (seconds) distance from start (meters)

6 36

9 54


Using G00gle Draw, or by hand, graph the relationship between distance and time for Jada’s bike race. Make sure to label and scale the axes appropriately.


Elena traveled the entire race at a steady 6 meters per second.


Using G00gle Draw, or by hand, modify your graph on the same set of axes to show the relationship between distance and time for Elena’s bike race.

Who won the race? Explain.

Answer 1

By graphing distance against time, we can determine who won the race. Elena's constant speed of 6 meters per second suggests she completes the race in 16.67 seconds; comparing this to Jada's graph will show us the winner.

Step-by-step explanation:

To determine who won the race between Elena and Jada, we need to graph the relationship between the distance traveled and the time taken for each one, then compare the results.

First, let's create the graph for Jada's bike race. Jada's distance-time relation can be plotted using the two points given: at 6 seconds, Jada is 36 meters from the start, and at 9 seconds, she is 54 meters from the start. Since she rode at a constant speed, we can draw a straight line through these points to represent her entire race. The slope of this line represents her speed.

Elena's speed is given as a steady 6 meters per second. This means that for every second that passes, Elena travels 6 meters. If we were to graph this on the same axes, we would start at the origin (0,0) and create a line with a slope of 6 — meaning that the line goes up by 6 on the y-axis (distance) for every 1 unit it goes along the x-axis (time).

By comparing the two lines on the graph, we can see who reached the 100-meter finish line first. The line which hits the 100-meter mark on the y-axis in the shortest amount of time is the winner's line.

Since Elena travels at a steady 6 meters per second, it will take her 16.67 seconds to complete the 100-meter race. We would need to calculate Jada's speed using the provided data and see if it takes her shorter or longer than 16.67 seconds to complete 100 meters.

Answer 2

Distance, Rate, and Time Applications

Janine bikes 3 mph faster than her sister, Jessica. Janine can ride in 1 hr less time than Jessica can ride the same distance. Find each of their speeds.

Step-by-step explanation: