Catie is starting a babysitting business. she spent $26 to make signs to advertise. she charges an initial fee of $5 and then $3 for each hour of service

Step-by-step explanation:

Let x represent the number of hours that Catie babysits.

She spent $26 to make signs to advertise. This means that her total cost is $26.

She charges an initial fee of $5 and then $3 for each hour of service. This means that her revenue for x hours of babysitting would be

5 + 3x

Profit = Revenue - total cost

It means that the revenue must be greater then the total costs for her to make profit. Therefore,

5 + 3x > 26

3x > 26 - 5

3x > 21

x > 21/3

x > 7

She must babysit more than 7 hours in order to make profit.