A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game to
2 answers:
Answer:
2. The y-intercept of the function is $60
3. The function can be represented by the equation y = (1/10)x +60.
5. The range is y ≥ 60
Step-by-step explanation:
The function of the yearly cost in dollars, y, based on x, the number of game tokens is:
1. The slope of the function is $1.00.
The slope of the function is the cost per token, if 10 tokens cost $1.00, than the slope of the function is $0.10. This statement is incorrect.
2. The y-intercept of the function is $60
The y-intercept is the value of y for which x = 0 (If no tokens are bought). In this case, that would be the single membership cost, which is $60. This statement is correct.
3. The function can be represented by the equation y = (1/10)x +60.
As previously mentioned, this equation is correct since it represents the membership cost plus the cost of each token multiplied by the number of tokens bought.
4. The domain is all real numbers
Real numbers include fractions and negative values, which cannot be a possible value for x. Therefore, the actual domain is all natural numbers (non-negative integers). This statement is incorrect.
5. The range is y ≥ 60
The range is all of the possible values of y. The minimum value is the cost of membership with no tokens ($60), and there is no maximum value since infinite tokens could be bought theoretically. This statement is correct.
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