Question

Jesse has a $30 gift card to a sandwich shop. Regular sandwiches cost $4, and large sandwiches cost $6. Which inequality models the number of sandwiches Jesse could buy with the card?

a. 4x + 6y ≤ 30
b. 4x + 6y ≥ 30
c. 4x - 6y ≤ 30
d. 4x - 6y ≥ 30

Answer 1

The inequality that models the number of sandwiches Jesse can buy is 4x + 6y ≤ 30.

Step-by-step explanation:

The inequality that models the number of sandwiches Jesse could buy with the gift card is 4x + 6y ≤ 30 (option a).

Here's why:

1. Let x represent the number of regular sandwiches Jesse buys.
2. Let y represent the number of large sandwiches Jesse buys.
3. The cost of each regular sandwich is $4, so the total cost of x regular sandwiches is 4x.
4. The cost of each large sandwich is $6, so the total cost of y large sandwiches is 6y.
5. Since Jesse has a $30 gift card, the total cost of the sandwiches should be less than or equal to $30, hence the inequality 4x + 6y ≤ 30.