Question

A food truck gyro vendor has weekly fixed costs of ​$555​, and variable costs of $ 4.85 for each gyro combo prepared. Complete parts a through c below.
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Part 1
a. Let x represent the number of gyro combos prepared and sold each week. Write the weekly cost​ function, C, for the food truck vendor.​ (Hint: The cost function is the sum of fixed and variable​ costs.)
​C(x)equals
  
enter your response here
​(Use integers or decimals for any numbers in the​ expression.)

Answer 1

To write the weekly cost function \( C(x) \) for the food truck vendor, you need to account for both the fixed costs and the variable costs.

1. **Fixed Costs**: These are the costs that do not change regardless of the number of gyro combos sold. In this case, the fixed costs are $555.

2. **Variable Costs**: These are costs that vary directly with the number of gyro combos sold. Here, the variable cost is $4.85 for each gyro combo. If \( x \) represents the number of gyro combos prepared and sold, then the variable cost can be expressed as \( 4.85x \).

Now, the total cost function \( C(x) \) can be expressed as:

\[
C(x) = \text{Fixed Costs} + \text{Variable Costs}
\]
\[
C(x) = 555 + 4.85x
\]

So the weekly cost function is:

\[
C(x) = 555 + 4.85x
\]