Question

For her birthday, Ellie receives a game card for Jungle Arcade preloaded with 500 points. Each arcade game costs 10 points on average. You can use a function to approximate the points left on Ellie's game card after she plays x games.
Is the function linear or exponential? make an equation that best represents the function

Answer 1

Because the card loses a fixed 10 points for each game, the points decrease by a constant amount per game — this is linear.

Equation: P(x) = 500 − 10x

Where P(x) is points remaining after x games. (Domain: x ≥ 0; if games must be whole, x ∈ {0,1,2,…,50} since 500/10 = 50.)