Mathematical+Reflections,+p+34+10-11

29th May, 2011 Block 7D || Mathematical Reflections 2 1.) How can you decide whether a relationship is linear by looking at its table or its equation?
 * Fiona Handloegten

You can decide whether a realtionship is linear by looking at its table. By calculating the differences between x2-x1 & (over) y2-y1. Or, if you see its that the graph or table is a consistant amount and the data is in a pattern, then its linear.

2.) In the situations you explored-how did the rate such as meters per second a student walks or the dollarsper mile a sponsor pledges-show up in the table, the graph, and the equation of a linear realtionship?

In the table you could see that the rate always rose by a specific number and the differences were equal. In the Graph, you could see a straight line (and the same slope.) Overall, the rates always rose depending on how many seconds they walked/ran. It all had a sequence.

3.) How can you compare the rates of two linear realtionships by looking at their graphs?Their tabled? Their equations? You can compare rates for two linear equations by looking at their graphs, by observing their slopes (rise over run). By calculating the differences you can compare them in tables. In equations you can compare their lables (y=mx+b) and the whole equation itself.

4.) When might you use a graph to answer a question anout a linear relationship? When might you use a table? An equation?

You might use a graph to show linear realetionships because with the slope displayed its simpler to observe. With a table, you can easily calculate the diffenrences in rates. For equations mtight help you make graphs & slopes easily. You can lable graphs with equations.

SUMMARY In this Investigation we learned about how you can tell if a relationship is linear, and why. We learned how to find rates and how they relate to linear expressions. We also learned how to compare (linear) equations.