The sales at a baseball game vary directly with the number of people attending. If the sales for a game are $15,000 when 500 people attend, determine how many people attend if the sales for a game are $24,000.
Responses
1800 people
800 people
8,000 people
800,000 people
Using the direct variation formula, we can set up the following equation:
sales = k * number of people
where k is the constant of variation.
To find the value of k, we can plug in the given values:
$15,000 = k * 500
Solving for k, we get:
k = $15,000 / 500 = $30
Now we can use the value of k to find how many people attend if the sales are $24,000:
$24,000 = $30 * number of people
Solving for the number of people, we get:
number of people = $24,000 / $30 = 800
Therefore, 800 people attend if the sales for a game are $24,000.