7. A charity raises money: Company gives $3 per $1 up to $9,000 and $1 per $1 thereafter. How much must the charity raise to reach $65,000 total?
Answer: B
The charity must raise $65,000 in total.
To achieve a total of $65,000, the charity must raise a specific amount due to the matching funds structure provided by the company.
A) $38
Raising $38 would yield a total of only $38 + (3 * $38) = $38 + $114 = $152, which is far below the target of $65,000. Therefore, this option is incorrect.
B) $40
If the charity raises $40, the total contribution would be $40 + (3 * $40) = $40 + $120 = $160. This still does not meet the required total, indicating this option is also incorrect.
C) $42
Raising $42 results in $42 + (3 * $42) = $42 + $126 = $168. This amount, while higher, is still insufficient to reach the target of $65,000, making this option incorrect as well.
D) $49
If the charity raises $49, the calculation would be $49 + (3 * $49) = $49 + $147 = $196. This amount exceeds the target significantly, thus rendering this option incorrect.
Conclusion
None of the provided options accurately reflect the required amount the charity must raise to reach the total of $65,000. Each option fails to meet the necessary funding calculations based on the matching funds structure established by the company.