Question

Rick was given 2 new gaming consoles for his birthday, one from each set of grandparents. He wants to return one of the consoles and use the store credit to buy new video games. He will receive $299 in store credit, and each video game costs $60. You can use a function to describe the amount of store credit he will have left after purchasing x video games.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.

Answer 1

The function is linear.
f(x) = 299 − 60x

Explanation: you start with $299 and spend $60 per game, so the amount left decreases by $60 for each game (slope m = −60, intercept b = 299). Domain: x = 0,1,2,3,4 (he can buy at most 4 whole games since 5 would cost $300).