TIME REMAINING A baker makes apple tarts and apple pies each day Each tart, \( t \), requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pres and tarts the baker can make? \[ \begin{array}{c} t \leq 40 \\ p \leq 184 \end{array} \] \[ t \leq 40 \] \[ 8 p \leq 184 \] \[ t \leq 40 \] \[ p+8 t \leq 184 \] \[ t \leq 40 \] \[ 8 p+t \leq 184 \]

The system of inequalities can be correctly represented as follows: since each tart requires 1 apple and each pie requires 8 apples, we can combine these facts into inequalities that define the constraints on the number of tarts, \( t \), and pies, \( p \). Specifically, we have \( t \leq 40 \) for the maximum number of tarts and \( 8p + t \leq 184 \) to ensure the use of apples does not exceed the supply. To solve a similar problem or understand this topic better, consider graphing the system of inequalities. By plotting the lines represented by \( t = 40 \) and \( 8p + t = 184 \), you can visualize the feasible region where the baker can operate within the constraints of apple supply and production limits. It’s a great way to see solutions and test different combinations of pies and tarts!