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

Answer:

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

Step-by-step explanation:

Formula for unit rate :

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{20-0}{11-0}=1.8181...$

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

$m_1=\dfrac{26-13}{14-7}=\dfrac{13}{7}=1.85714$

$m_2=\dfrac{18-9}{10-5}=\dfrac{9}{5}=1.8$

$m_3=\dfrac{34-17}{18-9}=\dfrac{17}{9}=1.88..$

$m_4=\dfrac{42-21}{22-11}=\dfrac{21}{11}=1.9090..$

$m_5=\dfrac{38-19}{20-10}=\dfrac{19}{10}=1.9$

$m_6=\dfrac{50-25}{26-13}=\dfrac{25}{13}=1.923$

$m_7=\dfrac{46-23}{24-12}=\dfrac{23}{12}=1.9166..$

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