Final answer:
The inequality representing the possible values for the number of drinks (d) and candies (c) Cai can purchase with $85 is: 4d + 5c ≤ 85.
Step-by-step explanation:
The student is asking about creating an inequality to represent a budget constraint for the purchase of drinks and candies at a movie theater.
To establish the inequality, we know each drink costs $4 (let's represent the number of drinks by d) and each candy costs $5 (let's represent the number of candies by c). Cai has a total of $85 to spend on these items.
The inequality representing this situation is:
4d + 5c ≤ 85
This inequality explains that the cost of d drinks plus the cost of c candies should not exceed $85.