Final answer:
To represent the number of skimboards and longboards the shop sells each week to make a profit, write the inequality 115x + 685y > 2300.
Step-by-step explanation:
To write an inequality to represent the number of skimboards and longboards the shop sells each week to make a profit, we need to consider the costs and revenue. The weekly overhead is given as $2300. The revenue generated from selling skimboards and longboards can be calculated by multiplying the cost of each item by the number of items sold. Let x represent the number of skimboards, and y represent the number of longboards.
The revenue generated from selling skimboards would be 115x, and the revenue generated from selling longboards would be 685y. To make a profit, the revenue generated should be greater than the overhead, so the inequality can be written as:
115x + 685y > 2300