Question

Paul and Jamie are making necklaces to sell at a craft fair. The tools and other start-up materials cost $12.50. There is an additional cost of $3.25 per necklace. Which equation can be used to find the total cost, c, of making a certain number of necklaces, n?

Answer 1

The equation to find the total cost, c, of making necklaces is given by c = 12.50 + 3.25n, where 12.50 is the initial start-up cost and 3.25 is the cost per necklace.

Step-by-step explanation:

To find the total cost, c, for making a certain number of necklaces, n, we need to consider both the initial start-up cost and the additional cost per necklace. We are given that the start-up materials cost $12.50, which is a fixed cost. Additionally, each necklace costs $3.25 to make, which is a variable cost depending on the number of necklaces made.

The total cost (c) consists of the fixed start-up cost plus the variable cost that depends on the number of necklaces (n). This results in a linear equation:

c = 12.50 + 3.25n

Where 12.50 represents the start-up cost and 3.25n represents the total variable cost for n necklaces. Simply, the total cost is the sum of the fixed start-up cost and the cost of producing each necklace multiplied by the number of necklaces made.

Answer 2

Total cost is represented by = c

Number of necklace is represented by = n

One time cost of tools and start-up materials = $12.50

Cost of making one/per necklace = $3.25

So, equation becomes:

cost = one time cost + 3.25(number of necklace)

`c=12.50+3.25(n)`

`c=12.50+3.25n`