How much must a charity raise to reach a total of $65,000 including Company B's contribution: for the first $9,000 raised, the company gives $3 for every $1; for every dollar above $9,000, the company gives $1 for every $1?
The charity must raise $0 to reach a total of $65,000 including Company B's contribution.
Since Company B's contribution is calculated based on the amount raised, if the charity raises no money, the contribution will cover the entire amount needed to reach $65,000.
If the charity raised $38, Company B would contribute $3 for every $1 up to $9,000 and then $1 for every dollar above that. This would not be sufficient to reach the $65,000 goal, as the total raised would be significantly less than required.
Raising $0 means the charity would not need to raise any funds to reach the $65,000 goal, as all funds would come from Company B's contribution. Therefore, this amount is sufficient to meet the total requirement.
If the charity raised $40, Company B would provide contributions totaling far less than needed to reach $65,000. The total would still fall short of the required amount, making this choice incorrect.
This choice is the same as option B and correctly indicates that raising $0 would fulfill the requirement by relying entirely on Company B's contribution.
Raising $42 would not meet the required total of $65,000, as the grant from Company B would not suffice to cover the difference between the total raised and the goal.
If the charity raised $49, it would still fall short of the $65,000 target, even with Company B's contributions. The total would not meet the necessary amount required.
To achieve the goal of $65,000 with Company B's contribution, raising $0 is the most effective option, as it allows the company to cover the entire amount. All other options involve raising money that does not reach the target, thus confirming that the best answer is indeed $0.
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