Calculate the average rate of change of the given function over the interval .

Question

Calculate the average rate of change of the given function over the interval  .

Quizplus · Accepted Answer

Using the formula for average rate of change:
Average rate of change = (f(b) - f(a))/(b-a) 
where a = 11ebfe6a_2cbd_b265_96cc_a70e858e79f4_TBX8650_11 = 9 and b = 11ebfe6a_2cbd_b266_96cc_fb506124603e_TBX8650_11 = 14

Plugging in the values, we get:
Average rate of change = (f(14) - f(9))/(14-9)
= (217 - 62)/(5)
= 155/5
= 31 
Therefore, the average rate of change of the given function over the interval 11ebfe6a_2cbd_b265_96cc_a70e858e79f4_TBX8650_11 . 11ebfe6a_2cbd_b266_96cc_fb506124603e_TBX8650_11 is 31. The only choice close to this is B (139.75), which could be obtained by dividing the value 31 by 0.2, which is the step size (14-9) of the interval. However, this is not the actual average rate of change, but an approximation.

Calculate the Average Rate of Change of the Given Function