Question

You have at most $3.65 to make copies. Each copy costs $0.25. Write an inequality that represents the number of copies you can make:

a. 0.25x ≤ 3.65
b. 0.25x > 3.65
c. 0.25x = 3.65
d. 0.25x < 3.65

Answer 1

The correct mathematical inequality for the given scenario, where each copy costs $0.25 and the student has at most $3.65, is '0.25x ≤ 3.65'. This represents the maximum number of copies that can be made with the available funds.

Step-by-step explanation:

The student is asking for an inequality that represents the number of copies, denoted by x, that can be made with at most $3.65 when each copy costs $0.25. The correct inequality that models this situation is 0.25x ≤ 3.65, which states that the total cost of making x copies, at 25 cents per copy, is less than or equal to $3.65. This inequality allows us to calculate the maximum number of copies that can be made without exceeding the budget.