Answer:
Step-by-step explanation:
The average rate of change between two points is the slope of the line between those points.
The points are:
The slope is:
The points are:
The slope is:
Answer:
[tex]\textsf{Average rate of change of the golf ball}=\dfrac{9}{2}\; \sf m/s[/tex]
[tex]\textsf{Average rate of change of the baseball}=\dfrac{9}{4}\; \sf m/s[/tex]
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\boxed{\dfrac{f(b)-f(a)}{b-a}}[/tex]
To find the average rate of change from 3 to 7 seconds:
Therefore, use the formula:
[tex]\implies \dfrac{f(7)-f(3)}{7-3}[/tex]
Golf Ball
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Seconds & \sf Meters \\\cline{1-2} 0&0\\\cline{1-2} 3&14\\\cline{1-2} 7&32\\\cline{1-2} 9&24\\\cline{1-2} 12&2\\\cline{1-2}\end{array}[/tex]
From inspection of the table:
Substitute these values into the formula to find the average rate of change of the golf ball from 3 seconds to 7 seconds:
[tex]\implies \textsf{Average Rate of Change}=\dfrac{f(7)-f(3)}{7-3}=\dfrac{32-14}{7-3}=\dfrac{9}{2}\; \sf m/s[/tex]
Baseball
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Seconds & \sf Meters \\\cline{1-2} 0&0\\\cline{1-2} 3&6\\\cline{1-2} 7&15\\\cline{1-2} 9&13\\\cline{1-2} 12&0\\\cline{1-2}\end{array}[/tex]
From inspection of the table:
Substitute these values into the formula to find the average rate of change of the baseball from 3 seconds to 7 seconds:
[tex]\implies \textsf{Average Rate of Change}=\dfrac{f(7)-f(3)}{7-3}=\dfrac{15-6}{7-3}=\dfrac{9}{4}\; \sf m/s[/tex]
