A company predicts that sales will increase rapidly after a new product is released, with the number of units sold weekly modeled by N $\mathrm { N } = 3000 ( 0.2 ) ^ { 0.7 ^ { t } }$ , where t represents the number of weeks after the product is released.
Use graphical or numerical methods to find the first week in which 2250 units were sold.
A) 5th week
B) 3rd week
C) 6th week
D) 7th week

Question

Quizplus · Accepted Answer

To find the first week in which 2250 units were sold, we set the equation $N = 3000(0.2)^{0.7^t}$ equal to 2250 and solve for $t$. This requires numerical methods or graphing to solve accurately. By graphing the function or using a numerical solver, we find that the sales reach 2250 units in the 5th week.

A Company Predicts That Sales Will Increase Rapidly After a New