https://file.aiquickdraw.com/mathbot/file/17295554523944b2lqjpk.jpg

Let's solve the two parts of the problem based on the equation provided:

### Given:
The total cost $ C $ for transporting $ n $ tons of sugar is given by the equation:
\[
C = 3500 + 250n
\]
Where:
- $ C $ is the total cost in dollars.
- $ n $ is the number of tons of sugar being transported.
- The fixed cost is US$3500, and the variable cost is US$250 per ton.

### (a) ¿Cuál es el costo total de transportar 11 toneladas?
Substitute $ n = 11 $ in the cost equation:
\[
C = 3500 + 250(11)
\]
\[
C = 3500 + 2750 = 6250
\]
So, the cost of transporting 11 tons is **US$6250**.

### (b) Si el costo total es US$9500, ¿cuántas toneladas transporta la compañía?
Substitute $ C = 9500 $ into the equation and solve for $ n $:
\[
9500 = 3500 + 250n
\]
\[
9500 - 3500 = 250n
\]
\[
6000 = 250n
\]
\[
n = \frac{6000}{250} = 24
\]
So, the company transports **24 tons**.

Let me know if you would like further clarification or details!

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Here are 5 related questions:
1. What would be the cost of transporting 15 tons of sugar?
2. How many tons can be transported if the total cost is US$12,000?
3. If the variable cost per ton increases to US$300, what is the new cost equation?
4. What would happen to the total cost if the fixed cost increases by US$500?
5. How much would the company save if it transported 20 tons instead of 24 tons?

**Tip:** When solving word problems involving linear equations, clearly identify fixed and variable costs to set up the equation correctly.

¿Cuál es el costo total de transportar 11 toneladas? Si el costo total es US$9500 ¿cuántas toneladas transporta la compañía?

Calculate the total cost for transporting 11 tons of sugar using the equation C = 3500 + 250n. Solve for the number of tons when the total cost is US$9500. This problem focuses on linear equations and basic algebra, suitable for students in Grades 6-8.

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