The graph of the function f, where y = f(x), models the total cost y, in dollars, for a certain video game system and x games. The graph passes through (0, 100) and (1, 125). What is the best interpretation of the slope of the graph in this context?
AEach game costs 100 dollars.
BEach game costs 25 dollars.
CThe video game system costs 100 dollars.
DThe video game system costs 25 dollars.
Answer & Solution
Correct answer: B. Each game costs 25 dollars.
Slope = change in y per unit increase in x. From (0,100) to (1,125), slope = 25, meaning each additional game adds 25 dollars to total cost. The y-intercept (100) is the system cost; the slope is the per-game cost.
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