the number of ushers at the 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?

To determine the relationship between the number of spectators and ushers needed, we can set up a proportion based on the information given:

510 spectators require 17 ushers.

So, 1 spectator would require \( \frac{17}{510} \) ushers.
Therefore, 1,050 spectators would require \( 1,050 \times \frac{17}{510} \) ushers.

Calculating, we get:
\( 1,050 \times \frac{17}{510} = 35 \) ushers

Therefore, if there are 1,050 spectators at the game, 35 ushers would be needed.