Sarah plans to sell decorative signs at an upcoming craft market. If it costs her $3.50 to make each sign, and she paid a one-time fee of $185 to rent a booth at the market. If Sarah sells each sign for $15.75, how many signs will she need to sell for her expenses to be no more than her earnings?

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Step-by-step explanation:

The length of first route is  13 units and length of second route is 15 units.

Step-by-step explanation:

Consider the below diagram has been attached with this question.

Using the below diagram we get

Length of the route from home to the store that passes the beach is

Length of the route from home to the store that passes the park is

It is given that from your home the route to the store that passes the beach is 2 miles shorter than the route to the store that passes the park.

Subtract 5x from both sides.

Subtract 4 from both sides.

Divide both sides by -2.

The value of x is 3.

The length of each route is

Therefore, the length of first route is  13 units and length of second route is 15 units.