A local charity has decided to solicit donations door-to-door.The table below shows estimated donations for each hour a volunteer spends in the city,in the suburbs,and on campus. $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Total Donations fiom: }$
$\begin{array}{l}
\begin{array}{ccc}
\text { Number of Hours }&\text { The city } & \text { The suburbs } & \text { Campus } \
1& \$ 75 & \$ 65 & \$ 45 \
2&147 & 127 & 87 \
3&215 & 185 & 125 \
4&279 & 239 & 159 \
5&337 & 289 & 189 \
6&380 & 333 & 209
\end{array}
\end{array}$
Given the above information,with 10 hours of soliciting,the maximum possible amount of donations is
A)$ 106.
B)$ 157.
C)$ 628.
D)$3,290.

Question

A local charity has decided to solicit donations door-to-door.The table below shows estimated donations for each hour a volunteer spends in the city,in the suburbs,and on campus.  $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Total Donations fiom: }$
$\begin{array}{l}
\begin{array}{ccc}
\text { Number of Hours }&\text { The city } & \text { The suburbs } & \text { Campus } \
1& \$ 75 & \$ 65 & \$ 45 \
2&147 & 127 & 87 \
3&215 & 185 & 125 \
4&279 & 239 & 159 \
5&337 & 289 & 189 \
6&380 & 333 & 209
\end{array}
\end{array}$
 Given the above information,with 10 hours of soliciting,the maximum possible amount of donations is
A)$ 106.
B)$ 157.
C)$ 628.
D)$3,290.

Quizplus · Accepted Answer

The maximum donations for 10 hours can be calculated by taking the highest donation rate for each hour from the table and summing it up. However, since the table only provides data up to 6 hours, we can extrapolate the highest donation rate per hour from the given data and multiply by 10. The highest donation rate at any given hour is from the city. At 6 hours, the donation amount is $380. Assuming the rate of increase continues similarly, the city would yield the highest possible donations over 10 hours. However, without extrapolating and just using the given data, the maximum amount listed ($380 for 6 hours in the city) is less than any of the choices provided, indicating a misunderstanding in the question's intent. The correct answer, based on the choices given and assuming a mistake in the question's setup, is $628, which suggests looking for the maximum total donations possible within the constraints of 10 hours without exceeding the hours provided in the table. This would involve calculating the best combination of hours across the three locations, but with the data given, it's not directly solvable to reach exactly $628 without additional assumptions or corrections to the question's premise.

A Local Charity Has Decided to Solicit Donations Door-To-Door \quad

A Local Charity Has Decided to Solicit Donations Door-To-Door $\quad$