6. 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 total.
To achieve a total of $65,000, the charity must take into account the matching contributions from the company. The company contributes $3 for every $1 raised up to $9,000, and then $1 for every $1 raised thereafter.
A) $38
Raising $38 would yield a company contribution of $9,000 (the maximum it can match) plus the $38 raised by the charity, totaling $9,038. This is significantly below the target of $65,000, making this option incorrect.
B) $40
Raising $40 would again result in $9,000 from the company and $40 from the charity, totaling $9,040. This amount is still far from the target of $65,000, indicating that this option is also incorrect.
C) $42
If the charity raises $42, it would receive $9,000 from the company, bringing the total to $9,042. This is still not close to the required amount of $65,000, confirming this option is incorrect.
D) $49
Raising $49 would yield the maximum company contribution of $9,000, resulting in a total of $9,049. This amount is still far from the target of $65,000, thus this option is incorrect as well.
E) [No Option]
[No explanation needed as there is no content for this option.]
F) [No Option]
[No explanation needed as there is no content for this option.]
G) [No Option]
[No explanation needed as there is no content for this option.]
Conclusion
None of the provided options A, B, C, D, or G adequately address the amount the charity needs to raise to reach the target of $65,000. All calculations show that the charity's fundraising must significantly exceed $40 to meet the goal, which none of the options achieve.