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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 + 2.50 = 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]

Sagot :

GinnyAnsweridn
To determine the total cost of attending the local carnival and taking rides, let's break down the costs involved and construct an appropriate equation.

1. Admission Cost Per Person: Each person must pay \[tex]$6.50 for admission to the carnival. This means if there are \( p \) persons, the total cost of admission is \( 6.50 \times p \). 2. Ride Cost Per Ride: Apart from the admission cost, each ride costs \$[/tex]2.50. If someone takes [tex]\( r \)[/tex] rides, the total cost of rides is [tex]\( 2.50 \times r \)[/tex].

Now, to find the total cost [tex]\( t \)[/tex], we need to add the admission cost and the ride cost together. Hence, the equation combining these costs is:

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

Here, [tex]\( t \)[/tex] represents the total cost, [tex]\( p \)[/tex] represents the number of persons, and [tex]\( r \)[/tex] represents the number of rides.

Therefore, the correct equation Jenna can use to calculate the total cost is:

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

This equation allows Jenna to create a table and calculate the total cost for different values of [tex]\( p \)[/tex] (number of persons) and [tex]\( r \)[/tex] (number of rides).
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