What is the probability of randomly selecting a blue marble from a bag that contains 5 red marbles, 5 blue marbles, 5 green marb
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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.
To find the equation, identify the slope and the y-intercept.
The slope is the coefficient to the variable. When you see the word 'per', you know that 2 is the slope, as she is paying 2 dollars per movie. This, in mathematical terms, is represented as 2x.
The y-intercept is the amount she starts off with. She gets 5 for free, so the y-intercept is +5.
The equation is
To solve for c = 50, plug 50 in and subtract 5 from both sides:
m = 22.5
The slope is the coefficient to the variable. When you see the word 'per', you know that 2 is the slope, as she is paying 2 dollars per movie. This, in mathematical terms, is represented as 2x.
The y-intercept is the amount she starts off with. She gets 5 for free, so the y-intercept is +5.
The equation is
To solve for c = 50, plug 50 in and subtract 5 from both sides:
m = 22.5