Final answer:
To determine the number of hours worked at each job and write a system of linear equations, use the given information and set up two equations.
Step-by-step explanation:
To write a system of linear equations to determine the number of hours worked at each job, we can use the given information:
You make $5 an hour in tips working at a restaurant, so the amount earned from the restaurant job can be represented as 5x, where x is the number of hours worked at the restaurant.
You make $7 an hour in tips working at a landscaping company, so the amount earned from the landscaping job can be represented as 7y, where y is the number of hours worked at the landscaping company.
The total amount earned in one week is $97, so we can set up the first equation as 5x + 7y = 97.
The number of hours worked at both jobs combined is 15, so we can set up the second equation as x + y = 15.
Therefore, the correct system of linear equations to determine the number of hours worked at each job is A. 5x + 7y = 97 and B. x + y = 15.