Question 12 Jeanette wants to raise $$ \$ 3,200 $$ in a marathon fundraiser. Her sponsers will donate $$ \$ 35 $$ for each (whole) kilometer she runs this summer. The minimum amount Jeanette will have to run to reach her goal of $$ \$ 3,200 $$ is kilometers. The solution is

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To determine the minimum number of whole kilometers Jeanette needs to run to raise at least \$3,200, follow these steps:

1. **Understand the Relationship:**
   
   Jeanette raises \$35 for each kilometer she runs. If she runs $$ k $$ kilometers, the total amount raised ($$ A $$) can be expressed as:
   $$
   A = 35k
   $$

2. **Set Up the Inequality:**
   
   She wants to raise at least \$3,200, so:
   $$
   35k \geq 3200
   $$

3. **Solve for $$ k $$:**
   
   Divide both sides of the inequality by 35 to find the minimum number of kilometers:
   $$
   k \geq \frac{3200}{35}
   $$
   $$
   k \geq 91.428...
   $$

4. **Determine the Minimum Whole Kilometer:**
   
   Since Jeanette can only run whole kilometers, she cannot run a fraction of a kilometer. Therefore, she needs to round up to the next whole number:
   $$
   k \geq 92
   $$

5. **Conclusion:**
   
   Jeanette must run **92 kilometers** to meet or exceed her fundraising goal of \$3,200.

**Final Answer:**  
92 kilometers
Jeanette needs to run **92 kilometers** to reach her goal of \$3,200.

Question 12
Jeanette wants to raise in a marathon fundraiser. Her sponsers will donate
for each (whole) kilometer she runs this summer.
The minimum amount Jeanette will have to run to reach her goal of is
kilometers.
The solution is

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Question 12 Jeanette wants to raise in a marathon fundraiser. Her sponsers will donate for each (whole) kilometer she runs this summer. The minimum amount Jeanette will have to run to reach her goal of is kilometers. The solution is