Solve the problem.
-The rate of water usage for a business, in gallons per day, is given by $W(t)=663 \mathrm{te}^{-t}$, where $t$ represents the number of hours since midnight. Approximately how many gallons of water does the business use in the first 6 hours of the day?
A) 655 gallons
B) 675 gallons
C) 12 gallons
D) 651 gallons

Question

Quizplus · Accepted Answer

To find the total water usage in the first 6 hours, we need to integrate the rate function $W(t) = 663te^{-t}$ from $t = 0$ to $t = 6$. The integral evaluates to approximately 651 gallons.

Solve the Problem W(t)=663te−tW(t)=663 \mathrm{te}^{-t}W(t)=663te−t , Where ttt Represents the Number of Hours Since Midnight

Solve the Problem $W(t)=663 \mathrm{te}^{-t}$ , Where $t$ Represents the Number of Hours Since Midnight