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?
a 32 ushers
b 315 ushers
c 35 ushers
d 31,500 ushers
To solve this problem, we can set up a proportion based on the relationship between the number of spectators and the number of ushers.
Let x represent the number of ushers needed if there are 1,050 spectators.
Using the information given:
510 spectators require 17 ushers
So the proportion can be set up as:
510/17 = 1,050/x
Now cross multiply to solve for x:
510x = 17 * 1,050
510x = 17,850
x = 17,850 / 510
x = 35
Therefore, if there are 1,050 spectators, 35 ushers are needed. The correct answer is c) 35 ushers.