For a certain group of births,the number of people that survive to age x years is given by
Find the rate of change of
With respect to x when x = 26.
A) -100
B) 100
C) -200
D) 200
E) none of the above

Question

For a certain group of births,the number  of people that survive to age x years is given by 
Find the rate of change of 
With respect to x when x = 26.
A) -100 
B) 100 
C) -200 
D) 200 
E) none of the above

Quizplus · Accepted Answer

We are given that the number of people who survive to age x years is given by:
11ea83f6_6347_ba64_b5a5_3d16b883f3a7_TB6578_11_TB6578_11

We need to find the rate of change of the above expression with respect to x when x = 26.

To find the rate of change, we take the derivative of the expression with respect to x:
d/dx (11ea83f6_6347_ba64_b5a5_3d16b883f3a7_TB6578_11_TB6578_11) = - 200

Therefore, the rate of change of 11ea83f6_6347_ba65_b5a5_fd59ed583736_TB6578_11_TB6578_11 with respect to x when x = 26 is -200.

Hence, the answer is C) -200.

For a Certain Group of Births,the Number of People