The admission to a local carnival is [tex]\$6.50[/tex] per person and [tex]\$2.50[/tex] for each ride. Jenna wants to know how much it will cost her to ride a certain number of rides at the carnival. Which equation can she use to create a table with this information (where [tex]p[/tex] is the number of persons, [tex]r[/tex] is the number of rides, and [tex]t[/tex] is the total cost of admission and rides)?

A. [tex]6.50p + 2.50r = t[/tex]
B. [tex]6.50 + 2.50r = t[/tex]
C. [tex]6.50r + 2.50 = t[/tex]
D. [tex]6.50 + 2.50p = t[/tex]



Answer :

To find the total cost [tex]\( t \)[/tex] considering both the admission cost per person and the cost per ride, we need to set up an equation that accounts for these variables correctly.

The given information is:
- Admission cost per person: \[tex]$6.50 - Cost per ride: \$[/tex]2.50

Let's use:
- [tex]\( p \)[/tex] for the number of persons
- [tex]\( r \)[/tex] for the number of rides

The total cost [tex]\( t \)[/tex] will be the sum of the admission cost for all persons plus the cost for all rides. This can be expressed as:

[tex]\[ t = (\text{Admission cost per person} \times \text{number of persons}) + (\text{Cost per ride} \times \text{number of rides}) \][/tex]

Plugging in the values, we get:

[tex]\[ t = 6.50p + 2.50r \][/tex]

Hence, the correct equation to use to create a table with this information is:

[tex]\[ 6.50p + 2.50r = t \][/tex]