Question

Bowling costs $4.50 per game (g). Shoe rental costs $3.75 each. The total cost is a function of the number of games. What function rule models the total cost of games and shoe rental? Evaluate the function for three games.

Answer 1

let x = number of games, let y = cost of shoe rental   then        Total cost = x•$4 + y   In this case, TC = 3•$4 + $2   TC = $14

Answer 2

The cost function is an illustration of linear functions

• The cost function is $C(x) = 3.75 + 4.50x$
• The cost for three games is $17.25

From the question, we have:

$G = 4.50$ --- cost per game

$R = 3.75$ --- cost per shoe rent

Since the cost is a function of number of games, it means that;

The cost of shoe rent is a fixed cost

Let x represents the number of games.

So, the cost function is:

$C(x) = R + G \times x$

This gives

$C(x) = 3.75 + 4.50 \times x$

$C(x) = 3.75 + 4.50x$

Substitute 3 for x; to evaluate the function for 3 games

$C(3) = 3.75 + 4.50 \times 3$

$C(3) = 3.75 + 13.50$

$C(3) = 17.25$

Hence, the cost for three games is $17.25

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