To solve the problem of finding the correct equation Jenna can use to calculate the total cost of attending the carnival, let's analyze the given information and the options provided.
We are given:
- The cost of admission per person is [tex]$6.50.
- The cost for each ride is $[/tex]2.50.
- Let [tex]\( p \)[/tex] represent the number of persons.
- Let [tex]\( r \)[/tex] represent the number of rides.
- Let [tex]\( t \)[/tex] represent the total cost.
Jenna herself will be the only person attending the carnival, so [tex]\( p = 1 \)[/tex].
The total cost [tex]\( t \)[/tex] is a sum of the admission cost and the cost of the rides. Therefore, we need to formulate an equation that combines these costs.
1. The cost for each person to enter the carnival is [tex]$6.50, so the total admission cost for \( p \) persons is \( 6.50 \times p \). Since \( p = 1 \), this simplifies to \( 6.50 \times 1 = 6.50 \).
2. Additionally, the cost for rides is $[/tex]2.50 per ride, so for [tex]\( r \)[/tex] rides, the total ride cost is [tex]\( 2.50 \times r \)[/tex].
Combining these two components, the total cost [tex]\( t \)[/tex] can be expressed as:
[tex]\[ t = 6.50 + 2.50r \][/tex]
Now, let's compare this with the provided options:
1. [tex]\( 6.50 p + 2.50 = t \)[/tex]
2. [tex]\( 6.50 + 2.50 r = t \)[/tex]
3. [tex]\( 6.50 r + 2.50 = t \)[/tex]
By inspection, the correct equation that matches our derived formula is the second option:
[tex]\[ 6.50 + 2.50r = t \][/tex]
Thus, the correct choice is:
[tex]\[ \boxed{2} \][/tex]
This is the equation Jenna can use to determine the total cost based on the number of rides she takes.
