Answer:
The table representing Relationship B is option 2
[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]
Step-by-step explanation:
The relationship shown by Relationship A and Relationship B = The change in the temperature for a pot of water om the stove
The rate of Relationship B > The rate of Relationship A
The table for relationship A is given as follows';
[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&61.3\\3&&64.9\\7&&79.3\\9&&86.5\end{array}[/tex]
The time in minutes are the x-values, while the temperature in °C Ere the y-values
The rate for Relationship A, [tex]m_A[/tex] = (86.5 - 61.3)/(9 - 2) = 3.6
Therefore, the rate for Relationship B > 3.6
By checking each option, we note that in option 2, the maximum value for the y-value is the same as for Relationship A, which is 86.5°C, while the minimum value for the time, t, is lesser than that for Relationship A, (60.6 minutes < 61.3 minutes) therefore, we get;
The rate for option 2 = (86.5 - 60.6)/(9 - 2) = 3.7
Therefore, the table that represents the Relationship B is the table for option 2
[tex]\begin{array}{ccc}Time \ (min)&&Temperature \ (^{\circ}C)\\2&&60.6\\3&&64.3\\7&&79.1\\9&&86.5\end{array}[/tex]
