msa math reflection 1

Moving Straight Ahead Math Reflection 1

1. Describe how the dependent variable changes as the independent variable changes in a linear relationship. Explain.

The dependent variable changes at the same rate the independent variable does. This means that as the independent variable goes up by a certain number, the dependent variable goes up at a steady rate also, just by a different number. An example would be if the cost of renting a truck is $50 per hour, with $50 being dependent and the number of hours being independent. As the number of hours goes up by one, the cost goes up by fifty more dollars. This shows $50 per hour, and $100 for 2 hours $150 for 3 hours and so on.

1 hour= $50

2 hours= $100

3 hours =$150

4 hours=$200

5 hours= $250

If this were in a table, it would be set up with hours as the X and the cost as the Y. When someone would go to read the table, they would see that each hour the person would have to pay $50

2. How does the pattern of change for a linear relationship show up in a table, a graph, and an equation of the relationship?

In the table, the numbers are shown out so that you can easily see the relationship.For example, if the linear rate of change is that Bob can ride his bike 10 mph, the table would be set up as:

hrs__mi
1 ___10
2 ___20
3 ___30
4 ___40
5 ___50
and so on. In this table, you could easily see that each hour, Bob went 10 miles.

In the graph, you can tell it is a linear relationship by the straight line created by the plotted points. For example, if the linear relationship is $12 raised per week, for each week plotted, the point would go up 12 more, to make a straight line. A straight line shows that each hour he went 10 miles, not 9 and not 11. If he went 9 or 11 miles, the line would go up or down faster than it would with a steady rate.

In the equation, you can tell if it is a linear relationship by if it has a variable times (*) a number. For example,

D-distance

H-hours

D=7h

You can tell the distance equals 7 miles per hour, 7 * H, to express the number of hours with 7 miles traveled per each.