Question: A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16…

A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let n represent number of people watching the football game, s represents the ounces of sparkling water, p represents the ounces of pretzels, and b represent Kiran’s budget in dollars. Which equation best represents Kiran’s budget? A. 12s + 3p = b B. 12 * 10 + 3 * 10 = b C. 1.50s + 2.99p = b D. 1.50 * 6 + 2.99 * 2 = b

Solution

To determine which equation best represents Kiran’s budget, we need to understand the context: - A bottle of sparkling water contains 22 ounces and costs $1.50. - A package of pretzels contains 16 ounces and costs $2.99. - \( s \) represents the ounces of sparkling water. - \( p \) represents the ounces of pretzels. - \( b \) represents Kiran’s budget in dollars. The problem requires us to express the total cost in terms of \( s \) and \( p \), where: - The cost of sparkling water is \( \frac{1.50}{22} \) dollars per ounce. - The cost of pretzels is \( \frac{2.99}{16} \) dollars per ounce. We choose the equation that directly represents the cost for \( s \) ounces of sparkling water and \( p \) ounces of pretzels. Examining option C: \[ 1.50s + 2.99p = b \] This equation correctly represents that each ounce of sparkling water costs $1.50 (since \( s \) is already assuming correct bottle calculation) and each package of pretzels costs $2.99. Therefore, the correct equation is: \[ 1.50s + 2.99p = b \] This represents Kiran’s budget accurately considering the given cost per item and described always in terms relevant to actual spending.