Final answer:
The inequality representing the number of cartons of strawberries a student can buy with $30 when each carton costs $3.75 is 3.75x ≤ 30.
Step-by-step explanation:
The question is how to represent the number of cartons of strawberries they can buy with $30 when each carton costs $3.75, using an inequality.
To determine this, you need to set up an inequality where the total cost of buying x cartons does not exceed the $30 limit.
The inequality will be 3.75x ≤ 30. This means that the cost of the cartons (3.75 times the number of cartons, x) should be less than or equal to $30.
Step-by-Step Explanation:
- Determine the cost per carton of strawberries, which is $3.75.
- Establish the total amount of money available to spend, which is $30.
- Create an inequality that multiplies the number of cartons x by the cost per carton to ensure it does not surpass the total amount available.
- Write the inequality as 3.75x ≤ 30 to indicate that the money spent on strawberries should be less than or equal to $30.