The number of ushers at a basketball game is directly proportional to the number of spectators. If there are 510 spectators at the game, 17 ushers are needed. How many ushers are needed if there are 1,050 spectators?(1 point)
Responses
31,500 ushers
31,500 ushers
315 ushers
315 ushers
32 ushers
32 ushers
35 ushers
The number of ushers is directly proportional to the number of spectators, so we can set up a proportion:
510 spectators = 17 ushers
1050 spectators = x ushers
510/17 = 1050/x
Cross multiply:
510x = 17 * 1050
510x = 17850
x = 17850/510
x = 35
Therefore, if there are 1050 spectators at the game, 35 ushers are needed.
Answer: 35 ushers