The rate of change of the weight of a laboratory mouse can be modeled by the equation grams per week where t is the age of the mouse in weeks and .
Use limit of sums to estimate .
A) 17.9 grams
B) 7.8 grams
C) 0.8 grams
D) 13.8 grams
E) 37.3 grams

Question

The rate of change of the weight of a laboratory mouse can be modeled by the equation  grams per week where t is the age of the mouse in weeks and  .
Use limit of sums to estimate  .
A) 17.9 grams 
B) 7.8 grams 
C) 0.8 grams 
D) 13.8 grams 
E) 37.3 grams

Quizplus · Accepted Answer

Using the limit of sums formula, we get:

11eaa894_6496_f35e_a158_b13b240d567e_TB6775_11

Plugging in n=10 and t=10 weeks, we get:

11eaa894_6496_f360_a158_294dbb522a51_TB6775_11

11eaa894_6496_f361_a158_5f5b89d5fd5b_TB6775_11

So, the estimated rate of change of weight of the mouse at 10 weeks is approximately 17.9 grams per week, which is closest to choice A).

The Rate of Change of the Weight of a Laboratory