The cost of cheese at three stores is a function of the weight of the cheese. The cheese is not prepackaged, so a customer can buy any amount of cheese. Store A sells the cheese for dollars per pound. Store B sells the same cheese for dollars per pound and a customer has a coupon for $5 off the total purchase at that store. Store C is an online store, selling the same cheese at a dollar per pound, but with a $10 delivery fee. This graph shows the price functions for stores A, B, and C. How many pounds would a customer need to order to make Store C a good option?

To determine when Store C becomes a good option compared to Store A and Store B, we need to find the point where the cost at Store C is less than or equal to the costs at Store A and Store B, taking into account the delivery fee.

Here are the steps to solve this problem:

1. Define the cost functions:

- Store A: Cost = $x$ dollars per pound

- Store B: Cost = $x - 5$ dollars per pound (after applying the $5 coupon)

- Store C: Cost = $x + 10$ dollars per pound (including the $10 delivery fee)

2. Set up the inequality to find when Store C becomes a better option:

$x + 10 \leq x$ (Store C cost is less than or equal to Store A cost)

$x + 10 \leq x - 5$ (Store C cost is less than or equal to Store B cost after coupon)

3. Solve the inequalities:

For Store C to be a better option than Store A: $x + 10 \leq x$ becomes $10 \leq 0$, which is not possible.

For Store C to be a better option than Store B: $x + 10 \leq x - 5$ becomes $10 \leq -5$, which is also not possible.