Answer:
a.) g(x) = 3x + 2
b.) $26
Explanation:
*Equation is assuming only one person is playing so only 1 shoe rental is needed*
a.) First we need to write an equation that represents the situation.
We know that for every game it costs $3 and for every shoe rental it costs $2.
However, you don't need to buy new shoes for every game, therefore the $2 become a one-time fee. Games, though, you need to pay $3 each time, so it becomes a changing, independent variable x. Knowing this, you can form an equation below with g(x) representing total cost and x representing the number of games played.
g(x) = 3x + 2
b.) Now that you know the equation, plug numbers in to find the cost of 8 games. Since the variable 'x' represents the number of games and you need to find the total cost, plug in the number 8 for x as shown below:
total cost = 3( 8 games ) + 2
total cost = $24 + $2
total cost = $26