A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by dollars. Find to the nearest integer the rate of change of sales volume when t = 4.
A) The rate of change of sales volume is - $3,028 per day.
B) The rate of change of sales volume is - $1,202 per day.
C) The rate of change of sales volume is - $1,211 per day.
D) The rate of change of sales volume is - $2 per day.

Question

A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by  dollars. Find to the nearest integer the rate of change of sales volume when t = 4.
A) The rate of change of sales volume is - $3,028 per day. 
B) The rate of change of sales volume is - $1,202 per day. 
C) The rate of change of sales volume is - $1,211 per day. 
D) The rate of change of sales volume is - $2 per day.

Quizplus · Accepted Answer

Taking the derivative with respect to t, we get:

d/dt [11e^(aa8b1_db01_afc4_b1b6_614e6675551e_TB6026_11t)] = 11(aa8b1_db01_afc4_b1b6_614e6675551e_TB6026_11)e^(aa8b1_db01_afc4_b1b6_614e6675551e_TB6026_11t)

When t = 4, the rate of change of sales volume would be:

(11(aa8b1_db01_afc4_b1b6_614e6675551e_TB6026_11)e^(aa8b1_db01_afc4_b1b6_614e6675551e_TB6026_11*4)) ≈ - $1,211 per day (rounded to the nearest integer)

Therefore, the best choice is C.

A Women's Clothing Chain Store, Found That T Days After