Answer :
Answer:
Step-by-step explanation:
To write a function that represents the amount of money left on the $50 gift card after playing a certain number of games at $4 per game, we can follow these steps:
1. Define the variable for the number of games played.
2. Calculate the cost of playing those games.
3. Subtract that cost from the initial amount on the gift card.
Let \( g \) represent the number of games played. Each game costs $4, so the total cost for \( g \) games is \( 4g \). The initial amount on the gift card is $50.
The function \( f(g) \) representing the amount of money left on the gift card after playing \( g \) games is given by:
\[ f(g) = 50 - 4g \]
Where:
- \( f(g) \) is the amount of money left on the gift card after playing \( g \) games.
- 50 is the initial amount of money on the gift card.
- 4g is the total cost of playing \( g \) games at $4 per game.
Example Calculations
- If no games are played (\( g = 0 \)):
\[ f(0) = 50 - 4 \cdot 0 = 50 \]
- If 5 games are played (\( g = 5 \)):
\[ f(5) = 50 - 4 \cdot 5 = 50 - 20 = 30 \]
- If 10 games are played (\( g = 10 \)):
\[ f(10) = 50 - 4 \cdot 10 = 50 - 40 = 10 \]
Summary
The function \( f(g) = 50 - 4g \) effectively calculates the remaining balance on the gift card after a certain number of games have been played.
