The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1
2
x. Explain who is correct.
5/10 = 1/2
y = 1/2 x
To determine who is correct between Student A and Student B, let's analyze the given information.
The local business will donate $5.00 for every 10 tickets sold. This means that for every 10 tickets (x) sold, y (the dollars donated) will be $5.00.
Therefore, we can set up a proportion to represent the relationship between x and y:
10 tickets (x) = $5.00 (y)
Simplifying the proportion, we find that for every 1 ticket sold (x), the dollars donated (y) will be $0.50 (since $5.00 divided by 10 equals $0.50).
So the correct equation would be y = 0.50x.
Neither Student A nor Student B is correct.
To determine who is correct, we need to understand the relationship between the number of tickets sold and the amount of money donated.
According to the given information, the local business donates $5.00 for every 10 tickets sold. This can be expressed as follows:
For every 10 tickets, $5.00 is donated.
For 'x' tickets, the amount donated can be calculated using a proportion:
x tickets = $5.00
10 tickets = ?
To find out how much is donated for 'x' tickets, we set up a proportion:
x/10 = y/$5.00
To solve the proportion, we can cross-multiply:
5 * x = 10 * y
Simplifying the equation, we get:
5x = 10y
Now we can compare the equations provided by Student A and Student B with the calculated equation.
Student A's claim: y = 2x
Student B's claim: y = 1/2x
Comparing these equations to the calculated equation (5x = 10y), we can see that neither Student A nor Student B is correct. The correct equation is actually y = (1/2)x, or y = 0.5x, which represents the correct relationship between the number of tickets sold and the amount of money donated.