To determine how many ushers are needed for 1,050 spectators, we start with the information given: the number of ushers is directly proportional to the number of spectators.
Using the relationship, we can set up the following proportion based on the initial condition:
\[ \frac{\text{Ushers}_1}{\text{Spectators}_1} = \frac{\text{Ushers}_2}{\text{Spectators}_2} \]
From the information provided:
- \( \text{Ushers}_1 = 17 \)
- \( \text{Spectators}_1 = 510 \)
- \( \text{Spectators}_2 = 1,050 \)
We need to find \( \text{Ushers}_2 \):
\[ \frac{17}{510} = \frac{\text{Ushers}_2}{1,050} \]
Now, we can cross-multiply to solve for \( \text{Ushers}_2 \):
\[ 17 \times 1,050 = \text{Ushers}_2 \times 510 \]
Calculating \( 17 \times 1,050 \):
\[ 17 \times 1,050 = 17,850 \]
Now set the equation:
\[ 17,850 = \text{Ushers}_2 \times 510 \]
Next, divide both sides by 510:
\[ \text{Ushers}_2 = \frac{17,850}{510} \]
Calculating this gives:
\[ \text{Ushers}_2 = 35 \]
So, if there are 1,050 spectators, 35 ushers are needed.
The correct response is 35 ushers.
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