Question

A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $100. Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping. Move the correct answer to each box.

Answer 1

The inequality representing the condition for free shipping when buying hats and T-shirts is 7x + 10y > 100, where x is the number of hats and y is the number of T-shirts.

Step-by-step explanation:

The question asks us to write an inequality that represents all possible combinations of hats (x) and T-shirts (y) in an order that qualifies for free shipping, where the total order must be over $100. Since each hat costs $7 and each T-shirt costs $10, the inequality that represents this scenario is:

7x + 10y > 100

This inequality states that the total cost of x hats and y T-shirts must exceed $100 to qualify for free shipping. To solve for possible combinations of hats and T-shirts that meet this condition, you would look for values of x and y that satisfy the inequality.