https://r2.erweima.ai/mathbot/image/1727069975087wo7rdjzq.jpg

The problem presented in the image is a mathematical application of a linear function. Let's break it down:

### Problem:
Greg rented a truck for one day. The base fee is $90.00, plus an additional cost of 85 cents per mile driven. The total cost $ C(x) $ in dollars, based on the number of miles $ x $, is given by the function:

\[
C(x) = 90.00 + 0.85x
\]

The question is: What is the total rental cost if Greg drove 50 miles?

### Solution:
We need to find $ C(50) $, which means substituting $ x = 50 $ into the given function.

\[
C(50) = 90.00 + 0.85(50)
\]

1. First, calculate $ 0.85 \times 50 $:
   \[
   0.85 \times 50 = 42.50
   \]

2. Add this result to the base fee:
   \[
   C(50) = 90.00 + 42.50 = 132.50
   \]

So, the total cost for renting the truck and driving 50 miles is **$132.50**.

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Would you like more details on this solution, or do you have any questions? 

Here are some related questions for further practice:
1. What would the total cost be if Greg drove 100 miles?
2. How many miles could Greg drive if he had a budget of $200?
3. How would the function change if the base cost increased to $95.00?
4. What is the cost for driving no miles at all?
5. If Greg was charged $150, how many miles did he drive?

**Tip**: Always substitute values carefully into the function and simplify step-by-step to avoid mistakes in calculations.

Greg alquiló un camión por un día. La cuota básica era $90.00 más 85 centavos por cada milla que manejara. ¿Cuál es el costo total del alquiler si Greg manejó 50 millas?

Learn how to calculate the total truck rental cost using a linear function C(x) = 90.00 + 0.85x. If Greg drives 50 miles, what will the total rental cost be? This problem is ideal for students in grades 6-8, covering basic algebra and linear equations.

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