Math Problem Statement

The function c(x) = 350x represents the cost c of buying a customized bag where x stands for the number of bags. How much is the cost for 5 bags?

Solution

To find the cost of 5 bags using the function c(x)=350xc(x) = 350x, substitute x=5x = 5 into the equation:

c(5)=350×5c(5) = 350 \times 5

c(5)=1750c(5) = 1750

So, the cost for 5 bags is $1750.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. What would be the cost for 10 bags?
  2. How would the function change if the cost per bag increased to $400?
  3. What is the cost of 3 bags?
  4. How many bags can you buy with $2800?
  5. If a discount of 10% is applied, what would be the new function?
  6. What is the total cost if 8 bags are purchased, but one bag is free?
  7. How would the cost function change if there was a fixed fee of $100 in addition to the cost per bag?
  8. What is the average cost per bag if 7 bags cost $2450?

Tip: When solving word problems, always identify what each variable in the equation represents and substitute values carefully.

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Math Problem Analysis

Mathematical Concepts

Linear Functions
Cost Analysis

Formulas

Cost function formula c(x) = 350x

Theorems

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Suitable Grade Level

Grades 7-9