Final answer:
The equation that represents Treyvon's situation is 2x + 1.5y = 15. In this equation, x represents the number of Gatorades Treyvon wants to buy, and y represents the number of waters. The equation states that the total cost of 2x Gatorades and 1.5y waters should be equal to $15, which is Treyvon's budget.
Step-by-step explanation:
The equation that represents Treyvon's situation is a) 2x + 1.5y = 15.
In this equation, x represents the number of Gatorades Treyvon wants to buy, and y represents the number of waters. The coefficients 2 and 1.5 represent the prices of Gatorade and water, respectively. The equation states that the total cost of 2x Gatorades and 1.5y waters should be equal to $15, which is Treyvon's budget.
For example, if Treyvon wants to buy 5 Gatorades (x = 5), the equation becomes 2(5) + 1.5y = 15, which simplifies to 10 + 1.5y = 15. By solving for y, we can determine the number of waters Treyvon can buy within his budget.