Question

Reed Richards is going to walk in a fundraising event to raise money for his school band. His mother has agreed to donate $9.50 to the school for each mile that Reed walks, plus an additional $38. If Reed wants to make at least $95.00 from his mother's donation, how far will he have to walk? Show your work.

Answer 1

Reed will have to walk at least 6 miles to make at least $95.00.

Step-by-step explanation:

To find how far Reed will have to walk to make at least $95.00 from his mother's donation, we can set up an equation. Let's say he walks x miles. His mother will donate $9.50 for each mile, so that's a total of $9.50 * x. In addition, she will donate an additional $38. So the total donation from his mother will be $9.50 * x + $38.

We want this total donation to be at least $95.00, so we can write the equation as $9.50 * x + $38 >= $95.00. To solve for x, we can subtract $38 from both sides of the equation: $9.50 * x >= $95.00 - $38 = $57.00. Then, we can divide both sides of the equation by $9.50 to find x: x >= $57.00 / $9.50 = 6.

Therefore, Reed will have to walk at least 6 miles to make at least $95.00 from his mother's donation.