Question

a bowling alley charge 5.00 to rent shoes and 3.50 per game write an algebraic expression that gives the total cost in dollars to bowl w games. then find the cost of bowling 3 games

Answer 1

To write an algebraic expression for the total cost \( C \) in dollars to bowl \( w \) games, we can combine the fixed cost of renting shoes with the variable cost of playing games.

The rental cost for shoes is $5.00, and the cost per game is $3.50. Therefore, the total cost can be expressed as:

\[
C(w) = 5.00 + 3.50w
\]

To find the cost of bowling 3 games, we substitute \( w = 3 \) into the expression:

\[
C(3) = 5.00 + 3.50(3)
\]

Calculating this gives:

\[
C(3) = 5.00 + 10.50 = 15.50
\]

So, the cost of bowling 3 games is **$15.50**.