Clara wants to have her birthday party at a dine-in movie theater. Her dad calls the theater to let them know 12 kids will attend the party. The theater offers Clara's dad a group rate, which comes out to $16.25 per kid.

Question

Let c represent the total cost for the group. Which equation models the problem?
Solve this equation to find the total cost for the group.
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Answer 1

To model the problem using an equation, we can express the total cost \( c \) as a function of the number of kids attending the party and the cost per kid.

Let \( k \) represent the number of kids, which is given as 12. Let \( r \) represent the rate per kid, which is \( 16.25 \).

The equation to model the total cost \( c \) is: \[ c = k \cdot r \]

Substituting the values of \( k \) and \( r \): \[ c = 12 \cdot 16.25 \]

Now let's solve for \( c \): \[ c = 12 \cdot 16.25 = 195 \]

Therefore, the total cost for the group is: \[ \boxed{195} \]