Question

The sales at a baseball game vary directly with the number of people attending. If sales for a game are $12,000 when 800 people attend, determine how many people would attend if the sales for a game are $15,000.​

Answer 1

To determine how many people would attend a baseball game with sales of $15,000, you apply direct variation using the ratio of people to sales. The calculation shows that 1,000 people would attend if sales are $15,000 based on the given direct relationship.

Step-by-step explanation:

The question involves finding out how many people would attend a baseball game if the sales for a game are $15,000, given that sales vary directly with the number of people attending. We know that $12,000 in sales corresponds to 800 people attending. This scenario is an application of direct variation, where one quantity changes in direct proportion to another.

To solve this, we set up a proportion based on the given information: (Number of People) / (Sales) = Constant. Using the figures from the question, we have 800 / $12,000 = x / $15,000. Solving for 'x' we get: (x * $12,000) = (800 * $15,000) which simplifies to x = (800 * $15,000) / $12,000. After calculation, we find that x = 1,000. Therefore, if the game's sales are $15,000, an estimated 1,000 people would attend.