In the expression \( 2.5x + 10 \), where \( x \) represents the number of individuals (in this case, Julio and Ashley, which is 2), the term \( 2.5x \) represents the total cost of the individual entry fees for the two people, and \( 10 \) represents the fixed cost, which is the entry fee for the car.
To find the entry fee for the car, we can analyze the expression:
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\( 2.5x \) represents the cost for individual entry fees. Since there are 2 people (Julio and Ashley), this means: \[ 2.5 \times 2 = 5 \]
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Thus, the total cost can be expressed as: \[ \text{Total Cost} = \text{Cost for car} + \text{Cost for individuals} \] \[ 2.5x + \text{Cost for car} = \text{Total Cost} \] \[ 2.5(2) + \text{Cost for car} = \text{Total Cost} \] \[ 5 + \text{Cost for car} = 2.5(2) + 10 \]
Now we set up the equation using the total cost expression given, which is \( 2.5x + 10 \):
- Total Cost when \( x = 2 \): \[ 2.5(2) + 10 = 5 + 10 = 15 \]
Thus, \[ 5 + \text{Cost for car} = 15 \]
To find the cost for the car entry fee: \[ \text{Cost for car} = 15 - 5 = 10 \]
So the entry fee for the car is $10.