Question

I need help with d graphing the relationship in the table. and problem e Review the math notes in the box in this lesson is the relationship of portional why or why not it’s a relationship is proportional it is increasing or decreasing if it’s not proportional explain why not

Answer 1

d)

The time t in minutes is plotted along the x axis and the elevation is plotted along the y axis.

The graph showing the relationship in the table is,

e)

If the ratios between two variables are same, then the relationship between the variables is said to be proportional.

From the given data, when time t=10, elevation , y=-150.

`(y)/(t)=(-150)/(10)=-15`

From the given data, when time t=30, elevation , y=-450.

`(y)/(t)=(-450)/(30)=-15`

From the given data, when time t=60, elevation , y=-900.

`(y)/(t)=(-900)/(60)=-15`

So, the ratio of elevation to time is a constant equal to -15. Therefore, the relationship is proportional.

Or

If the graph is a straight line passing through the origin, then the graph shows proportional relationship.

The graph plotted with elevation against time is a straight line passing through the origin. Therefore, the relationship in the table is proportional.

The proportional relationship is decreasing if the y value decreases with the increase in x value in a graph showing proportional relationship.

In the given graph, the y value(elevation) decreases with the increase in x (time) value.

So, the proportional relationship is decreasing.