Sandra makes necklaces and sells them at a school craft fair. she uses the equation P=7.5n-(2.25n+15) to determine her total profit, in dollars, at the fair when n necklaces are sold. BAsed on this equation, how much does she charge for each necklace
To determine how much Sandra charges for each necklace, we need to look at the equation she uses to determine her profit.
The equation she uses is:
P = 7.5n - (2.25n + 15)
where P represents profit in dollars and n represents the number of necklaces sold.
To find out how much she charges for each necklace, we need to isolate the variable n on one side of the equation. First, let's simplify the equation:
P = 7.5n - 2.25n - 15
P = 5.25n - 15
Now, we know that profit is calculated by subtracting the cost from the revenue. In this case, the cost includes materials used to make the necklace and other expenses, and the revenue is the income from selling the necklaces.
To find out how much Sandra charges for each necklace, we need to consider that the cost per necklace sold is $2.25 and the total expenses is $15. So, the revenue per necklace (what she charges per necklace) can be calculated by adding the cost per necklace and the profit per necklace:
Revenue per necklace = Cost per necklace + Profit per necklace
Revenue per necklace = $2.25 + $5.25
Revenue per necklace = $7.50
Therefore, Sandra charges $7.50 for each necklace.