The sales S (in thousands of units) of a seasonal product are given by the model $S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }$ where $t$ is the time in months, with $t = 1$ corresponding to January. Find the average sales for the first quarter $( 0 \leq t \leq 3 )$. Round your answer to three decimal places.
A) $90.916$ thousand units
B) $92.084$ thousand units
C) $101.436$ thousand units
D) $129.632$ thousand units
E) $72.486$ thousand units

Question

The sales S (in thousands of units) of a seasonal product are given by the model $S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }$ where $t$ is the time in months, with $t = 1$ corresponding to January. Find the average sales for the first quarter $( 0 \leq t \leq 3 )$. Round your answer to three decimal places. 
A) $90.916$ thousand units
B) $92.084$ thousand units
C) $101.436$ thousand units
D) $129.632$ thousand units
E) $72.486$ thousand units

Quizplus · Accepted Answer

The Answer of The sales S (in thousands of units) of a seasonal product are given by the model $S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }$ where $t$ is the time in months, with $t = 1$ corresponding to January. Find the average sales for the first quarter $( 0 \leq t \leq 3 )$. Round your answer to three decimal places. 
A) $90.916$ thousand units
B) $92.084$ thousand units
C) $101.436$ thousand units
D) $129.632$ thousand units
E) $72.486$ thousand units

The Sales S (In Thousands of Units) of a Seasonal S=73.24+44.29sin⁡πt6S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }S=73.24+44.29sin6πt​

The Sales S (In Thousands of Units) of a Seasonal $S = 73.24 + 44.29 \sin \frac { \pi t } { 6 }$