From 2003 through 2008,the sales $R _ { 1 }$ (in thousands of dollars)for one of two restaurants owned by the same parent company can be modeled by $R _ { 1 } = 480 - 6 t - 0.6 t ^ { 2 } , t = 3,4,5,6,7,8$ where t = 3 represents 2003.During the same six-year period,the sales $R _ { 2 }$ (in thousands of dollars)for the second restaurant can be modeled by $R _ { 2 } = 259 + 0.77 t , t = 3,4,5,6,7,8$
Write a function $R _ { 3 }$ that represents the total sales of the two restaurants owned by the same parent company.

A) $R _ { 3 } = 739 - 5.23 t ^ { 2 } - 0.6 t$
B) $$R _ { 3 } = 739 - 5.23 t + 0.6 t ^ { 2 }$$
C) $$R _ { 3 } = 221 - 6.77 t ^ { 2 } - 0.6 t$$
D) $R _ { 3 } = 739 - 5.23 t ^ { 2 } + 0.6 t$
E) $R _ { 3 } = 739 - 5.23 t - 0.6 t ^ { 2 }$

Question

From 2003 through 2008,the sales $R _ { 1 }$ (in thousands of dollars)for one of two restaurants owned by the same parent company can be modeled by​ $R _ { 1 } = 480 - 6 t - 0.6 t ^ { 2 } , t = 3,4,5,6,7,8$ ​ where t = 3 represents 2003.During the same six-year period,the sales $R _ { 2 }$ (in thousands of dollars)for the second restaurant can be modeled by​ $R _ { 2 } = 259 + 0.77 t , t = 3,4,5,6,7,8$ ​
Write a function $R _ { 3 }$ that represents the total sales of the two restaurants owned by the same parent company.
​
A)​ $R _ { 3 } = 739 - 5.23 t ^ { 2 } - 0.6 t$
B)​ $$R _ { 3 } = 739 - 5.23 t + 0.6 t ^ { 2 }$$
C)​ $$R _ { 3 } = 221 - 6.77 t ^ { 2 } - 0.6 t$$
D)​ $R _ { 3 } = 739 - 5.23 t ^ { 2 } + 0.6 t$
E)​ $R _ { 3 } = 739 - 5.23 t - 0.6 t ^ { 2 }$

Quizplus · Accepted Answer

To find $R_3$, which represents the total sales of the two restaurants, we need to add $R_1$ and $R_2$ together. Given $R_1 = 480 - 6t - 0.6t^2$ and $R_2 = 259 + 0.77t$, adding these gives $R_3 = (480 + 259) - 6t + 0.77t - 0.6t^2 = 739 - 5.23t - 0.6t^2$.

From 2003 Through 2008,the Sales R1R _ { 1 }R1​ (In Thousands of Dollars)for One of Two Restaurants Owned by (In

From 2003 Through 2008,the Sales $R _ { 1 }$ (In Thousands of Dollars)for One of Two Restaurants Owned by (In