Final answer:
To express Luke and Dana's goal of making at least 150 cookies for charity within a time constraint, we use the inequality c ≥ 150 for cookies and t ≤ k for time, where c represents the number of cookies and t is the time spent baking within the limit k.
Step-by-step explanation:
To represent the situation of Luke and Dana making cookies for charity with the aim of baking at least 150 cookies within a time constraint, we use inequalities. Inequalities help to express a range of possible values that can satisfy the condition set forth in the problem. Assuming that Luke and Dana start with zero cookies, an inequality that represents their situation could be c ≥ 150, where c represents the number of cookies they have baked. This inequality states that the number of cookies should be greater than or equal to 150 to meet their goal.
If there is a specific time constraint involved, such as they need to bake at least 150 cookies in t hours, we might use an inequality like t ≤ k, where t is the total time spent baking, and k is the maximum amount of time they have available to bake the cookies. Bringing both conditions together, we can form a system of inequalities to represent the complete situation, taking both the number of cookies and the time constraint into account.