Question

Robert has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some Sour Straws for $1.50 each. Which inequality will determine how many Sour Straws can Robert purchase with the money that he has?

Option 1: 7.50x + 1.50 < 15
Option 2: 1.50x + 7.50 > 15
Option 3: 7.50 + 1.50x < 15
Option 4: 15 + 1.50x > 7.50

Answer 1

The correct inequality to determine how many Sour Straws Robert can purchase is 7.50 + 1.50x < 15. This inequality takes into account the cost of nachos and the price of Sour Straws, ensuring the total does not exceed Robert's budget of $15.00.

Step-by-step explanation:

The question is asking us to determine which inequality will show how many Sour Straws Robert can purchase with his remaining money after buying nachos at a concession stand. The correct inequality must account for the initial cost of the nachos and then use the price of one Sour Straw multiplied by the number of Sour Straws Robert wants to buy, without exceeding his total budget of $15.00.

Since Robert already spent $7.50 on nachos, we subtract that from his total $15.00 to find how much he has left. The cost of each Sour Straw is $1.50, so we multiply that by the number of Sour Straws, represented by 'x'. The correct inequality representing the situation will compare the cost of nachos plus the cost of the Sour Straws to Robert's total budget. Therefore, the correct inequality is 7.50 + 1.50x < 15 (Option 3), as this inequality shows the maximum amount that can be spent on Sour Straws without exceeding the $15.00 budget.