The sales of a new product (in items per month) can be approximated by
$S(x)=375+400 \log (3 t+1)$, where $t$ represents the number of months after the item first becomes available. Find the number of items sold per month 3 months after the item first becomes available.
A) 4375 items per month
B) 775 items per month
C) 8375 items per month
D) 1175 items per month

Question

Quizplus · Accepted Answer

To find the number of items sold per month 3 months after the item first becomes available, substitute $t = 3$ into the given formula: $S(x) = 375 + 400 \log (3(3) + 1) = 375 + 400 \log (10)$. Since $\log (10) = 1$, the equation simplifies to $S(x) = 375 + 400(1) = 775$ items per month.

The Sales of a New Product (In Items Per Month) S(x)=375+400log⁡(3t+1)S(x)=375+400 \log (3 t+1)S(x)=375+400log(3t+1)

The Sales of a New Product (In Items Per Month) $S(x)=375+400 \log (3 t+1)$