Question 9

The charity must raise $49 to reach a total of $65,000 including Company B's contribution.

To determine the amount the charity needs to raise, we calculate the contributions based on the thresholds set by Company B. For the first $9,000, the company contributes $3 for every dollar, and for amounts above that, the contribution is $1 for every dollar raised.

A) $38

If the charity raises $38, the total contribution from Company B for the first $9,000 would be $9,000 * 3 = $27,000, with an additional $38 - $9,000 = $0 above that threshold. This results in only $27,000 raised, which is far below the required total of $65,000.

B) $40

Raising $40 would mean the charity receives $27,000 for the first $9,000 plus an additional $40 for the amount raised beyond that. This totals $27,000 + $31 = $58,000, still not reaching the required $65,000.

C) $42

If the charity raises $42, the contribution from Company B for the first $9,000 would still be $27,000. The additional contribution for the amount raised over $9,000 would be $42 - $9,000 = $33. Therefore, the total raised would be $27,000 + $33 = $60,000, which falls short of the target.

D) $49

When the charity raises $49, the contribution from Company B for the first $9,000 is $27,000, and for the amount raised over $9,000 ($49 - $9,000), the charity gets an additional $40. This results in a total of $27,000 + $40 = $67,000, which exceeds the total target of $65,000.

E) $42

This option is already addressed above and does not contribute to the total required amount.

G) $49

This option has already been discussed and confirms the required amount to reach the total.

Conclusion

The correct answer is $49, as this amount allows the charity to surpass the $65,000 goal when factoring in Company B's contributions. All other options fail to meet the necessary total, either by falling short or not meeting the structured contribution levels outlined.