Question

Find the table with unit rates greater than the unit range in the graph. Then arrange these tables in order from least to greatest unit rate?

Answer 1

Except table 2, all tables have greater unit rate than the graph.

The required arrangements of tables is

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < table 7 < Table 6

Explanation:

Formula for unit rate :

`m=(y_2-y_1)/(x_2-x_1)`

From the given graph it is clear that the line passes through the points (0,0) and (11,20). So, unit rat of graph is

`m=(20-0)/(11-0)=1.8181...`

Similarly, we need to calculate the unit rate for each table.

`m_1=(26-13)/(14-7)=(13)/(7)=1.85714`

`m_2=(18-9)/(10-5)=(9)/(5)=1.8`

`m_3=(34-17)/(18-9)=(17)/(9)=1.88..`

`m_4=(42-21)/(22-11)=(21)/(11)=1.9090..`

`m_5=(38-19)/(20-10)=(19)/(10)=1.9`

`m_6=(50-25)/(26-13)=(25)/(13)=1.923`

`m_7=(46-23)/(24-12)=(23)/(12)=1.9166..`

Except table 2, all tables have greater unit rate than the graph.

The required arrangement of tables is

Table 2 < Table 1 < Table 3 < Table 5 < Table 4 < Table 7 < Table 6